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Finding the Third Proportional to 49,596 and 107,940

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Solution

The third proportional to 49,596 and 107,940 is: 234,919.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,596 : 107,940 = 107,940 : x
  2. Step 2: Convert to fraction form
    49,596/107,940 = 107,940/x
  3. Step 3: Cross multiply
    49,596x = 107,940 × 107,940
  4. Step 4: Simplify right side
    49,596x = 11,651,043,600
  5. Step 5: Solve for x
    x = 11,651,043,600/49,596
  6. Step 6: Final answer
    x = 234,919.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.