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Finding the Third Proportional to 107,482 and 169,467

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Solution

The third proportional to 107,482 and 169,467 is: 267,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,482 : 169,467 = 169,467 : x
  2. Step 2: Convert to fraction form
    107,482/169,467 = 169,467/x
  3. Step 3: Cross multiply
    107,482x = 169,467 × 169,467
  4. Step 4: Simplify right side
    107,482x = 28,719,064,089
  5. Step 5: Solve for x
    x = 28,719,064,089/107,482
  6. Step 6: Final answer
    x = 267,198.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.