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Finding the Third Proportional to 126,486.56 and 192,319.88

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Solution

The third proportional to 126,486.56 and 192,319.88 is: 292,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,486.56 : 192,319.88 = 192,319.88 : x
  2. Step 2: Convert to fraction form
    126,486.56/192,319.88 = 192,319.88/x
  3. Step 3: Cross multiply
    126,486.56x = 192,319.88 × 192,319.88
  4. Step 4: Simplify right side
    126,486.56x = 36,986,934,320.02
  5. Step 5: Solve for x
    x = 36,986,934,320.02/126,486.56
  6. Step 6: Final answer
    x = 292,417.89

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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.