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Finding the Third Proportional to 126,051 and 265,872

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Solution

The third proportional to 126,051 and 265,872 is: 560,788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,051 : 265,872 = 265,872 : x
  2. Step 2: Convert to fraction form
    126,051/265,872 = 265,872/x
  3. Step 3: Cross multiply
    126,051x = 265,872 × 265,872
  4. Step 4: Simplify right side
    126,051x = 70,687,920,384
  5. Step 5: Solve for x
    x = 70,687,920,384/126,051
  6. Step 6: Final answer
    x = 560,788.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.