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Finding the Third Proportional to 56,340 and 123,880

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Solution

The third proportional to 56,340 and 123,880 is: 272,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,340 : 123,880 = 123,880 : x
  2. Step 2: Convert to fraction form
    56,340/123,880 = 123,880/x
  3. Step 3: Cross multiply
    56,340x = 123,880 × 123,880
  4. Step 4: Simplify right side
    56,340x = 15,346,254,400
  5. Step 5: Solve for x
    x = 15,346,254,400/56,340
  6. Step 6: Final answer
    x = 272,386.48

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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.