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Finding the Third Proportional to 67,912 and 151,376

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Solution

The third proportional to 67,912 and 151,376 is: 337,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,912 : 151,376 = 151,376 : x
  2. Step 2: Convert to fraction form
    67,912/151,376 = 151,376/x
  3. Step 3: Cross multiply
    67,912x = 151,376 × 151,376
  4. Step 4: Simplify right side
    67,912x = 22,914,693,376
  5. Step 5: Solve for x
    x = 22,914,693,376/67,912
  6. Step 6: Final answer
    x = 337,417.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.