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Finding the Third Proportional to 62,502.75 and 89,314.31

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Solution

The third proportional to 62,502.75 and 89,314.31 is: 127,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,502.75 : 89,314.31 = 89,314.31 : x
  2. Step 2: Convert to fraction form
    62,502.75/89,314.31 = 89,314.31/x
  3. Step 3: Cross multiply
    62,502.75x = 89,314.31 × 89,314.31
  4. Step 4: Simplify right side
    62,502.75x = 7,977,046,417.35
  5. Step 5: Solve for x
    x = 7,977,046,417.35/62,502.75
  6. Step 6: Final answer
    x = 127,627.13

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.