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Finding the Third Proportional to 54,877 and 129,412

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Solution

The third proportional to 54,877 and 129,412 is: 305,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,877 : 129,412 = 129,412 : x
  2. Step 2: Convert to fraction form
    54,877/129,412 = 129,412/x
  3. Step 3: Cross multiply
    54,877x = 129,412 × 129,412
  4. Step 4: Simplify right side
    54,877x = 16,747,465,744
  5. Step 5: Solve for x
    x = 16,747,465,744/54,877
  6. Step 6: Final answer
    x = 305,181.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.