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Finding the Third Proportional to 63,392 and 137,355

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Solution

The third proportional to 63,392 and 137,355 is: 297,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,392 : 137,355 = 137,355 : x
  2. Step 2: Convert to fraction form
    63,392/137,355 = 137,355/x
  3. Step 3: Cross multiply
    63,392x = 137,355 × 137,355
  4. Step 4: Simplify right side
    63,392x = 18,866,396,025
  5. Step 5: Solve for x
    x = 18,866,396,025/63,392
  6. Step 6: Final answer
    x = 297,614.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.