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Finding the Third Proportional to 85,464 and 187,452

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Solution

The third proportional to 85,464 and 187,452 is: 411,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,464 : 187,452 = 187,452 : x
  2. Step 2: Convert to fraction form
    85,464/187,452 = 187,452/x
  3. Step 3: Cross multiply
    85,464x = 187,452 × 187,452
  4. Step 4: Simplify right side
    85,464x = 35,138,252,304
  5. Step 5: Solve for x
    x = 35,138,252,304/85,464
  6. Step 6: Final answer
    x = 411,146.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.