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Finding the Third Proportional to 126,272 and 191,536

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Solution

The third proportional to 126,272 and 191,536 is: 290,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,272 : 191,536 = 191,536 : x
  2. Step 2: Convert to fraction form
    126,272/191,536 = 191,536/x
  3. Step 3: Cross multiply
    126,272x = 191,536 × 191,536
  4. Step 4: Simplify right side
    126,272x = 36,686,039,296
  5. Step 5: Solve for x
    x = 36,686,039,296/126,272
  6. Step 6: Final answer
    x = 290,531.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.