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Finding the Third Proportional to 84,324.75 and 126,031.13

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Solution

The third proportional to 84,324.75 and 126,031.13 is: 188,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,324.75 : 126,031.13 = 126,031.13 : x
  2. Step 2: Convert to fraction form
    84,324.75/126,031.13 = 126,031.13/x
  3. Step 3: Cross multiply
    84,324.75x = 126,031.13 × 126,031.13
  4. Step 4: Simplify right side
    84,324.75x = 15,883,844,468.77
  5. Step 5: Solve for x
    x = 15,883,844,468.77/84,324.75
  6. Step 6: Final answer
    x = 188,365.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.