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Finding the Third Proportional to 126,076 and 191,734

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Solution

The third proportional to 126,076 and 191,734 is: 291,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,076 : 191,734 = 191,734 : x
  2. Step 2: Convert to fraction form
    126,076/191,734 = 191,734/x
  3. Step 3: Cross multiply
    126,076x = 191,734 × 191,734
  4. Step 4: Simplify right side
    126,076x = 36,761,926,756
  5. Step 5: Solve for x
    x = 36,761,926,756/126,076
  6. Step 6: Final answer
    x = 291,585.45

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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.