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Finding the Third Proportional to 126,460 and 169,698

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Solution

The third proportional to 126,460 and 169,698 is: 227,719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,460 : 169,698 = 169,698 : x
  2. Step 2: Convert to fraction form
    126,460/169,698 = 169,698/x
  3. Step 3: Cross multiply
    126,460x = 169,698 × 169,698
  4. Step 4: Simplify right side
    126,460x = 28,797,411,204
  5. Step 5: Solve for x
    x = 28,797,411,204/126,460
  6. Step 6: Final answer
    x = 227,719.53

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.