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Finding the Third Proportional to 126,802.13 and 299,872.13

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Solution

The third proportional to 126,802.13 and 299,872.13 is: 709,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,802.13 : 299,872.13 = 299,872.13 : x
  2. Step 2: Convert to fraction form
    126,802.13/299,872.13 = 299,872.13/x
  3. Step 3: Cross multiply
    126,802.13x = 299,872.13 × 299,872.13
  4. Step 4: Simplify right side
    126,802.13x = 89,923,291,352.02
  5. Step 5: Solve for x
    x = 89,923,291,352.02/126,802.13
  6. Step 6: Final answer
    x = 709,162.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.