EXHIBIT 32
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                CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350,
                       AS ADOPTED PURSUANT TO SECTION 906
                        OF THE SARBANES-OXLEY ACT OF 2002



         In connection with the Quarterly Report of Realmark Property Investors
Limited Partnership - III (the "Partnership") on Form 10-Q for the period ending
June 30, 2007 as filed with the Securities and Exchange Commission on the date
hereof (the "Report"), I, Joseph M. Jayson, Individual General Partner and
Principal Financial Officer, certify, pursuant to 18 U.S.C. Section 1350, as
adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that to the
best of my knowledge:

         (1)   The Report fully complies with the requirements of Section 13(a)
               or 15(d) of the Securities and Exchange Act of 1934; and

         (2)   The information contained in the Report fairly presents, in all
               material respects, the financial condition and result of the
               operations of the Partnership.


              August 14, 2007                    /s/ Joseph M. Jayson
              ---------------                    --------------------
                    Date                         Joseph M. Jayson,
                                                 Individual General Partner and
                                                 Principal Financial Officer