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Finding the Third Proportional to 63,877 and 131,854

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Solution

The third proportional to 63,877 and 131,854 is: 272,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,877 : 131,854 = 131,854 : x
  2. Step 2: Convert to fraction form
    63,877/131,854 = 131,854/x
  3. Step 3: Cross multiply
    63,877x = 131,854 × 131,854
  4. Step 4: Simplify right side
    63,877x = 17,385,477,316
  5. Step 5: Solve for x
    x = 17,385,477,316/63,877
  6. Step 6: Final answer
    x = 272,171.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.