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Finding the Third Proportional to 87,732.50 and 131,014

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Solution

The third proportional to 87,732.50 and 131,014 is: 195,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,732.50 : 131,014 = 131,014 : x
  2. Step 2: Convert to fraction form
    87,732.50/131,014 = 131,014/x
  3. Step 3: Cross multiply
    87,732.50x = 131,014 × 131,014
  4. Step 4: Simplify right side
    87,732.50x = 17,164,668,196
  5. Step 5: Solve for x
    x = 17,164,668,196/87,732.50
  6. Step 6: Final answer
    x = 195,647.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.