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Finding the Third Proportional to 126,160 and 275,539

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Solution

The third proportional to 126,160 and 275,539 is: 601,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,160 : 275,539 = 275,539 : x
  2. Step 2: Convert to fraction form
    126,160/275,539 = 275,539/x
  3. Step 3: Cross multiply
    126,160x = 275,539 × 275,539
  4. Step 4: Simplify right side
    126,160x = 75,921,740,521
  5. Step 5: Solve for x
    x = 75,921,740,521/126,160
  6. Step 6: Final answer
    x = 601,789.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.