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Finding the Third Proportional to 71,132 and 144,310

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Solution

The third proportional to 71,132 and 144,310 is: 292,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,132 : 144,310 = 144,310 : x
  2. Step 2: Convert to fraction form
    71,132/144,310 = 144,310/x
  3. Step 3: Cross multiply
    71,132x = 144,310 × 144,310
  4. Step 4: Simplify right side
    71,132x = 20,825,376,100
  5. Step 5: Solve for x
    x = 20,825,376,100/71,132
  6. Step 6: Final answer
    x = 292,770.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.