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Finding the Third Proportional to 86,892 and 129,952

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Solution

The third proportional to 86,892 and 129,952 is: 194,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,892 : 129,952 = 129,952 : x
  2. Step 2: Convert to fraction form
    86,892/129,952 = 129,952/x
  3. Step 3: Cross multiply
    86,892x = 129,952 × 129,952
  4. Step 4: Simplify right side
    86,892x = 16,887,522,304
  5. Step 5: Solve for x
    x = 16,887,522,304/86,892
  6. Step 6: Final answer
    x = 194,350.71

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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.