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Finding the Third Proportional to 107,468 and 169,446

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Solution

The third proportional to 107,468 and 169,446 is: 267,167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,468 : 169,446 = 169,446 : x
  2. Step 2: Convert to fraction form
    107,468/169,446 = 169,446/x
  3. Step 3: Cross multiply
    107,468x = 169,446 × 169,446
  4. Step 4: Simplify right side
    107,468x = 28,711,946,916
  5. Step 5: Solve for x
    x = 28,711,946,916/107,468
  6. Step 6: Final answer
    x = 267,167.41

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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.