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Finding the Third Proportional to 107,466 and 169,443

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Solution

The third proportional to 107,466 and 169,443 is: 267,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,466 : 169,443 = 169,443 : x
  2. Step 2: Convert to fraction form
    107,466/169,443 = 169,443/x
  3. Step 3: Cross multiply
    107,466x = 169,443 × 169,443
  4. Step 4: Simplify right side
    107,466x = 28,710,930,249
  5. Step 5: Solve for x
    x = 28,710,930,249/107,466
  6. Step 6: Final answer
    x = 267,162.92

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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.