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Finding the Third Proportional to 123,714 and 275,859

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Solution

The third proportional to 123,714 and 275,859 is: 615,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,714 : 275,859 = 275,859 : x
  2. Step 2: Convert to fraction form
    123,714/275,859 = 275,859/x
  3. Step 3: Cross multiply
    123,714x = 275,859 × 275,859
  4. Step 4: Simplify right side
    123,714x = 76,098,187,881
  5. Step 5: Solve for x
    x = 76,098,187,881/123,714
  6. Step 6: Final answer
    x = 615,113.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.