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Finding the Third Proportional to 54,497 and 84,419

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Solution

The third proportional to 54,497 and 84,419 is: 130,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,497 : 84,419 = 84,419 : x
  2. Step 2: Convert to fraction form
    54,497/84,419 = 84,419/x
  3. Step 3: Cross multiply
    54,497x = 84,419 × 84,419
  4. Step 4: Simplify right side
    54,497x = 7,126,567,561
  5. Step 5: Solve for x
    x = 7,126,567,561/54,497
  6. Step 6: Final answer
    x = 130,769.91

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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.