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Finding the Third Proportional to 54,614 and 82,304

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Solution

The third proportional to 54,614 and 82,304 is: 124,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,614 : 82,304 = 82,304 : x
  2. Step 2: Convert to fraction form
    54,614/82,304 = 82,304/x
  3. Step 3: Cross multiply
    54,614x = 82,304 × 82,304
  4. Step 4: Simplify right side
    54,614x = 6,773,948,416
  5. Step 5: Solve for x
    x = 6,773,948,416/54,614
  6. Step 6: Final answer
    x = 124,033.19

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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.