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Finding the Third Proportional to 64,531.50 and 97,770

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Solution

The third proportional to 64,531.50 and 97,770 is: 148,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,531.50 : 97,770 = 97,770 : x
  2. Step 2: Convert to fraction form
    64,531.50/97,770 = 97,770/x
  3. Step 3: Cross multiply
    64,531.50x = 97,770 × 97,770
  4. Step 4: Simplify right side
    64,531.50x = 9,558,972,900
  5. Step 5: Solve for x
    x = 9,558,972,900/64,531.50
  6. Step 6: Final answer
    x = 148,128.79

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.