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Finding the Third Proportional to 54,484 and 82,541

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Solution

The third proportional to 54,484 and 82,541 is: 125,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,484 : 82,541 = 82,541 : x
  2. Step 2: Convert to fraction form
    54,484/82,541 = 82,541/x
  3. Step 3: Cross multiply
    54,484x = 82,541 × 82,541
  4. Step 4: Simplify right side
    54,484x = 6,813,016,681
  5. Step 5: Solve for x
    x = 6,813,016,681/54,484
  6. Step 6: Final answer
    x = 125,046.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.