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Finding the Third Proportional to 71,332 and 151,880

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Solution

The third proportional to 71,332 and 151,880 is: 323,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,332 : 151,880 = 151,880 : x
  2. Step 2: Convert to fraction form
    71,332/151,880 = 151,880/x
  3. Step 3: Cross multiply
    71,332x = 151,880 × 151,880
  4. Step 4: Simplify right side
    71,332x = 23,067,534,400
  5. Step 5: Solve for x
    x = 23,067,534,400/71,332
  6. Step 6: Final answer
    x = 323,382.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.