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Finding the Third Proportional to 56,340 and 123,840

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Solution

The third proportional to 56,340 and 123,840 is: 272,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,340 : 123,840 = 123,840 : x
  2. Step 2: Convert to fraction form
    56,340/123,840 = 123,840/x
  3. Step 3: Cross multiply
    56,340x = 123,840 × 123,840
  4. Step 4: Simplify right side
    56,340x = 15,336,345,600
  5. Step 5: Solve for x
    x = 15,336,345,600/56,340
  6. Step 6: Final answer
    x = 272,210.61

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Why These Related Problems?

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