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Finding the Third Proportional to 62,352 and 87,704

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Solution

The third proportional to 62,352 and 87,704 is: 123,363.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,352 : 87,704 = 87,704 : x
  2. Step 2: Convert to fraction form
    62,352/87,704 = 87,704/x
  3. Step 3: Cross multiply
    62,352x = 87,704 × 87,704
  4. Step 4: Simplify right side
    62,352x = 7,691,991,616
  5. Step 5: Solve for x
    x = 7,691,991,616/62,352
  6. Step 6: Final answer
    x = 123,363.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.