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Finding the Third Proportional to 57,725 and 86,356

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Solution

The third proportional to 57,725 and 86,356 is: 129,187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,725 : 86,356 = 86,356 : x
  2. Step 2: Convert to fraction form
    57,725/86,356 = 86,356/x
  3. Step 3: Cross multiply
    57,725x = 86,356 × 86,356
  4. Step 4: Simplify right side
    57,725x = 7,457,358,736
  5. Step 5: Solve for x
    x = 7,457,358,736/57,725
  6. Step 6: Final answer
    x = 129,187.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.