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Finding the Third Proportional to 81,837.84 and 126,132.19

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Solution

The third proportional to 81,837.84 and 126,132.19 is: 194,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,837.84 : 126,132.19 = 126,132.19 : x
  2. Step 2: Convert to fraction form
    81,837.84/126,132.19 = 126,132.19/x
  3. Step 3: Cross multiply
    81,837.84x = 126,132.19 × 126,132.19
  4. Step 4: Simplify right side
    81,837.84x = 15,909,328,723.54
  5. Step 5: Solve for x
    x = 15,909,328,723.54/81,837.84
  6. Step 6: Final answer
    x = 194,400.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.