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Finding the Third Proportional to 71,142 and 107,182

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Solution

The third proportional to 71,142 and 107,182 is: 161,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,142 : 107,182 = 107,182 : x
  2. Step 2: Convert to fraction form
    71,142/107,182 = 107,182/x
  3. Step 3: Cross multiply
    71,142x = 107,182 × 107,182
  4. Step 4: Simplify right side
    71,142x = 11,487,981,124
  5. Step 5: Solve for x
    x = 11,487,981,124/71,142
  6. Step 6: Final answer
    x = 161,479.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.