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Finding the Third Proportional to 87,915 and 137,812.50

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Solution

The third proportional to 87,915 and 137,812.50 is: 216,030.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,915 : 137,812.50 = 137,812.50 : x
  2. Step 2: Convert to fraction form
    87,915/137,812.50 = 137,812.50/x
  3. Step 3: Cross multiply
    87,915x = 137,812.50 × 137,812.50
  4. Step 4: Simplify right side
    87,915x = 18,992,285,156.25
  5. Step 5: Solve for x
    x = 18,992,285,156.25/87,915
  6. Step 6: Final answer
    x = 216,030.09

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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.