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Finding the Third Proportional to 124,872 and 271,918

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Solution

The third proportional to 124,872 and 271,918 is: 592,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,872 : 271,918 = 271,918 : x
  2. Step 2: Convert to fraction form
    124,872/271,918 = 271,918/x
  3. Step 3: Cross multiply
    124,872x = 271,918 × 271,918
  4. Step 4: Simplify right side
    124,872x = 73,939,398,724
  5. Step 5: Solve for x
    x = 73,939,398,724/124,872
  6. Step 6: Final answer
    x = 592,121.52

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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.