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Finding the Third Proportional to 86,552 and 131,452

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Solution

The third proportional to 86,552 and 131,452 is: 199,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,552 : 131,452 = 131,452 : x
  2. Step 2: Convert to fraction form
    86,552/131,452 = 131,452/x
  3. Step 3: Cross multiply
    86,552x = 131,452 × 131,452
  4. Step 4: Simplify right side
    86,552x = 17,279,628,304
  5. Step 5: Solve for x
    x = 17,279,628,304/86,552
  6. Step 6: Final answer
    x = 199,644.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.