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Finding the Third Proportional to 88,652 and 192,074

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Solution

The third proportional to 88,652 and 192,074 is: 416,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,652 : 192,074 = 192,074 : x
  2. Step 2: Convert to fraction form
    88,652/192,074 = 192,074/x
  3. Step 3: Cross multiply
    88,652x = 192,074 × 192,074
  4. Step 4: Simplify right side
    88,652x = 36,892,421,476
  5. Step 5: Solve for x
    x = 36,892,421,476/88,652
  6. Step 6: Final answer
    x = 416,148.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.