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Finding the Third Proportional to 87,527.50 and 96,550

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Solution

The third proportional to 87,527.50 and 96,550 is: 106,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,527.50 : 96,550 = 96,550 : x
  2. Step 2: Convert to fraction form
    87,527.50/96,550 = 96,550/x
  3. Step 3: Cross multiply
    87,527.50x = 96,550 × 96,550
  4. Step 4: Simplify right side
    87,527.50x = 9,321,902,500
  5. Step 5: Solve for x
    x = 9,321,902,500/87,527.50
  6. Step 6: Final answer
    x = 106,502.56

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.