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Finding the Third Proportional to 51,340 and 112,760

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Solution

The third proportional to 51,340 and 112,760 is: 247,659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,340 : 112,760 = 112,760 : x
  2. Step 2: Convert to fraction form
    51,340/112,760 = 112,760/x
  3. Step 3: Cross multiply
    51,340x = 112,760 × 112,760
  4. Step 4: Simplify right side
    51,340x = 12,714,817,600
  5. Step 5: Solve for x
    x = 12,714,817,600/51,340
  6. Step 6: Final answer
    x = 247,659.09

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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.