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Finding the Third Proportional to 77,892 and 169,452

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Solution

The third proportional to 77,892 and 169,452 is: 368,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,892 : 169,452 = 169,452 : x
  2. Step 2: Convert to fraction form
    77,892/169,452 = 169,452/x
  3. Step 3: Cross multiply
    77,892x = 169,452 × 169,452
  4. Step 4: Simplify right side
    77,892x = 28,713,980,304
  5. Step 5: Solve for x
    x = 28,713,980,304/77,892
  6. Step 6: Final answer
    x = 368,638.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.