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Finding the Third Proportional to 56,138 and 123,340

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Solution

The third proportional to 56,138 and 123,340 is: 270,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,138 : 123,340 = 123,340 : x
  2. Step 2: Convert to fraction form
    56,138/123,340 = 123,340/x
  3. Step 3: Cross multiply
    56,138x = 123,340 × 123,340
  4. Step 4: Simplify right side
    56,138x = 15,212,755,600
  5. Step 5: Solve for x
    x = 15,212,755,600/56,138
  6. Step 6: Final answer
    x = 270,988.56

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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.