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Finding the Third Proportional to 71,929 and 158,134

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Solution

The third proportional to 71,929 and 158,134 is: 347,653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,929 : 158,134 = 158,134 : x
  2. Step 2: Convert to fraction form
    71,929/158,134 = 158,134/x
  3. Step 3: Cross multiply
    71,929x = 158,134 × 158,134
  4. Step 4: Simplify right side
    71,929x = 25,006,361,956
  5. Step 5: Solve for x
    x = 25,006,361,956/71,929
  6. Step 6: Final answer
    x = 347,653.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.