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Finding the Third Proportional to 82,464 and 124,464

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Solution

The third proportional to 82,464 and 124,464 is: 187,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,464 : 124,464 = 124,464 : x
  2. Step 2: Convert to fraction form
    82,464/124,464 = 124,464/x
  3. Step 3: Cross multiply
    82,464x = 124,464 × 124,464
  4. Step 4: Simplify right side
    82,464x = 15,491,287,296
  5. Step 5: Solve for x
    x = 15,491,287,296/82,464
  6. Step 6: Final answer
    x = 187,855.15

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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.