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Finding the Third Proportional to 87,544 and 127,487.50

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Solution

The third proportional to 87,544 and 127,487.50 is: 185,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,544 : 127,487.50 = 127,487.50 : x
  2. Step 2: Convert to fraction form
    87,544/127,487.50 = 127,487.50/x
  3. Step 3: Cross multiply
    87,544x = 127,487.50 × 127,487.50
  4. Step 4: Simplify right side
    87,544x = 16,253,062,656.25
  5. Step 5: Solve for x
    x = 16,253,062,656.25/87,544
  6. Step 6: Final answer
    x = 185,655.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.