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Finding the Third Proportional to 56,380 and 123,921

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Solution

The third proportional to 56,380 and 123,921 is: 272,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,380 : 123,921 = 123,921 : x
  2. Step 2: Convert to fraction form
    56,380/123,921 = 123,921/x
  3. Step 3: Cross multiply
    56,380x = 123,921 × 123,921
  4. Step 4: Simplify right side
    56,380x = 15,356,414,241
  5. Step 5: Solve for x
    x = 15,356,414,241/56,380
  6. Step 6: Final answer
    x = 272,373.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.