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Finding the Third Proportional to 88,761 and 193,074

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Solution

The third proportional to 88,761 and 193,074 is: 419,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,761 : 193,074 = 193,074 : x
  2. Step 2: Convert to fraction form
    88,761/193,074 = 193,074/x
  3. Step 3: Cross multiply
    88,761x = 193,074 × 193,074
  4. Step 4: Simplify right side
    88,761x = 37,277,569,476
  5. Step 5: Solve for x
    x = 37,277,569,476/88,761
  6. Step 6: Final answer
    x = 419,976.90

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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.