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Finding the Third Proportional to 54,931 and 82,397

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Solution

The third proportional to 54,931 and 82,397 is: 123,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,931 : 82,397 = 82,397 : x
  2. Step 2: Convert to fraction form
    54,931/82,397 = 82,397/x
  3. Step 3: Cross multiply
    54,931x = 82,397 × 82,397
  4. Step 4: Simplify right side
    54,931x = 6,789,265,609
  5. Step 5: Solve for x
    x = 6,789,265,609/54,931
  6. Step 6: Final answer
    x = 123,596.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.