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Finding the Third Proportional to 56,810 and 123,874

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Solution

The third proportional to 56,810 and 123,874 is: 270,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,810 : 123,874 = 123,874 : x
  2. Step 2: Convert to fraction form
    56,810/123,874 = 123,874/x
  3. Step 3: Cross multiply
    56,810x = 123,874 × 123,874
  4. Step 4: Simplify right side
    56,810x = 15,344,767,876
  5. Step 5: Solve for x
    x = 15,344,767,876/56,810
  6. Step 6: Final answer
    x = 270,106.81

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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.