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Finding the Third Proportional to 88,902 and 192,564

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Solution

The third proportional to 88,902 and 192,564 is: 417,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,902 : 192,564 = 192,564 : x
  2. Step 2: Convert to fraction form
    88,902/192,564 = 192,564/x
  3. Step 3: Cross multiply
    88,902x = 192,564 × 192,564
  4. Step 4: Simplify right side
    88,902x = 37,080,894,096
  5. Step 5: Solve for x
    x = 37,080,894,096/88,902
  6. Step 6: Final answer
    x = 417,098.54

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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.