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Finding the Third Proportional to 51,656 and 113,140

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Solution

The third proportional to 51,656 and 113,140 is: 247,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,656 : 113,140 = 113,140 : x
  2. Step 2: Convert to fraction form
    51,656/113,140 = 113,140/x
  3. Step 3: Cross multiply
    51,656x = 113,140 × 113,140
  4. Step 4: Simplify right side
    51,656x = 12,800,659,600
  5. Step 5: Solve for x
    x = 12,800,659,600/51,656
  6. Step 6: Final answer
    x = 247,805.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.