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Finding the Third Proportional to 119,079 and 169,262

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Solution

The third proportional to 119,079 and 169,262 is: 240,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,079 : 169,262 = 169,262 : x
  2. Step 2: Convert to fraction form
    119,079/169,262 = 169,262/x
  3. Step 3: Cross multiply
    119,079x = 169,262 × 169,262
  4. Step 4: Simplify right side
    119,079x = 28,649,624,644
  5. Step 5: Solve for x
    x = 28,649,624,644/119,079
  6. Step 6: Final answer
    x = 240,593.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.