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Finding the Third Proportional to 126,031 and 263,746

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Solution

The third proportional to 126,031 and 263,746 is: 551,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,031 : 263,746 = 263,746 : x
  2. Step 2: Convert to fraction form
    126,031/263,746 = 263,746/x
  3. Step 3: Cross multiply
    126,031x = 263,746 × 263,746
  4. Step 4: Simplify right side
    126,031x = 69,561,952,516
  5. Step 5: Solve for x
    x = 69,561,952,516/126,031
  6. Step 6: Final answer
    x = 551,943.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.