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Finding the Third Proportional to 88,020 and 192,096

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Solution

The third proportional to 88,020 and 192,096 is: 419,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,020 : 192,096 = 192,096 : x
  2. Step 2: Convert to fraction form
    88,020/192,096 = 192,096/x
  3. Step 3: Cross multiply
    88,020x = 192,096 × 192,096
  4. Step 4: Simplify right side
    88,020x = 36,900,873,216
  5. Step 5: Solve for x
    x = 36,900,873,216/88,020
  6. Step 6: Final answer
    x = 419,232.82

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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.