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Finding the Third Proportional to 56,941 and 124,560

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Solution

The third proportional to 56,941 and 124,560 is: 272,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,941 : 124,560 = 124,560 : x
  2. Step 2: Convert to fraction form
    56,941/124,560 = 124,560/x
  3. Step 3: Cross multiply
    56,941x = 124,560 × 124,560
  4. Step 4: Simplify right side
    56,941x = 15,515,193,600
  5. Step 5: Solve for x
    x = 15,515,193,600/56,941
  6. Step 6: Final answer
    x = 272,478.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.