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Finding the Third Proportional to 71,863 and 151,175

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Solution

The third proportional to 71,863 and 151,175 is: 318,020.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,863 : 151,175 = 151,175 : x
  2. Step 2: Convert to fraction form
    71,863/151,175 = 151,175/x
  3. Step 3: Cross multiply
    71,863x = 151,175 × 151,175
  4. Step 4: Simplify right side
    71,863x = 22,853,880,625
  5. Step 5: Solve for x
    x = 22,853,880,625/71,863
  6. Step 6: Final answer
    x = 318,020.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.