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Finding the Third Proportional to 88,560 and 192,680

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Solution

The third proportional to 88,560 and 192,680 is: 419,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,560 : 192,680 = 192,680 : x
  2. Step 2: Convert to fraction form
    88,560/192,680 = 192,680/x
  3. Step 3: Cross multiply
    88,560x = 192,680 × 192,680
  4. Step 4: Simplify right side
    88,560x = 37,125,582,400
  5. Step 5: Solve for x
    x = 37,125,582,400/88,560
  6. Step 6: Final answer
    x = 419,213.89

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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.