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Finding the Third Proportional to 67,997 and 147,292

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Solution

The third proportional to 67,997 and 147,292 is: 319,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,997 : 147,292 = 147,292 : x
  2. Step 2: Convert to fraction form
    67,997/147,292 = 147,292/x
  3. Step 3: Cross multiply
    67,997x = 147,292 × 147,292
  4. Step 4: Simplify right side
    67,997x = 21,694,933,264
  5. Step 5: Solve for x
    x = 21,694,933,264/67,997
  6. Step 6: Final answer
    x = 319,057.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.