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Finding the Third Proportional to 64,935.50 and 103,737

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Solution

The third proportional to 64,935.50 and 103,737 is: 165,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,935.50 : 103,737 = 103,737 : x
  2. Step 2: Convert to fraction form
    64,935.50/103,737 = 103,737/x
  3. Step 3: Cross multiply
    64,935.50x = 103,737 × 103,737
  4. Step 4: Simplify right side
    64,935.50x = 10,761,365,169
  5. Step 5: Solve for x
    x = 10,761,365,169/64,935.50
  6. Step 6: Final answer
    x = 165,723.91

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.