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Finding the Third Proportional to 87,537.75 and 137,176.69

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Solution

The third proportional to 87,537.75 and 137,176.69 is: 214,963.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,537.75 : 137,176.69 = 137,176.69 : x
  2. Step 2: Convert to fraction form
    87,537.75/137,176.69 = 137,176.69/x
  3. Step 3: Cross multiply
    87,537.75x = 137,176.69 × 137,176.69
  4. Step 4: Simplify right side
    87,537.75x = 18,817,443,593.47
  5. Step 5: Solve for x
    x = 18,817,443,593.47/87,537.75
  6. Step 6: Final answer
    x = 214,963.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.