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Finding the Third Proportional to 71,143 and 103,042

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Solution

The third proportional to 71,143 and 103,042 is: 149,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,143 : 103,042 = 103,042 : x
  2. Step 2: Convert to fraction form
    71,143/103,042 = 103,042/x
  3. Step 3: Cross multiply
    71,143x = 103,042 × 103,042
  4. Step 4: Simplify right side
    71,143x = 10,617,653,764
  5. Step 5: Solve for x
    x = 10,617,653,764/71,143
  6. Step 6: Final answer
    x = 149,243.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.