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Finding the Third Proportional to 84,892 and 129,282

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Solution

The third proportional to 84,892 and 129,282 is: 196,883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,892 : 129,282 = 129,282 : x
  2. Step 2: Convert to fraction form
    84,892/129,282 = 129,282/x
  3. Step 3: Cross multiply
    84,892x = 129,282 × 129,282
  4. Step 4: Simplify right side
    84,892x = 16,713,835,524
  5. Step 5: Solve for x
    x = 16,713,835,524/84,892
  6. Step 6: Final answer
    x = 196,883.52

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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.