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Finding the Third Proportional to 52,497 and 81,337.50

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Solution

The third proportional to 52,497 and 81,337.50 is: 126,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,497 : 81,337.50 = 81,337.50 : x
  2. Step 2: Convert to fraction form
    52,497/81,337.50 = 81,337.50/x
  3. Step 3: Cross multiply
    52,497x = 81,337.50 × 81,337.50
  4. Step 4: Simplify right side
    52,497x = 6,615,788,906.25
  5. Step 5: Solve for x
    x = 6,615,788,906.25/52,497
  6. Step 6: Final answer
    x = 126,022.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.