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Finding the Third Proportional to 88,506 and 192,561

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Solution

The third proportional to 88,506 and 192,561 is: 418,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,506 : 192,561 = 192,561 : x
  2. Step 2: Convert to fraction form
    88,506/192,561 = 192,561/x
  3. Step 3: Cross multiply
    88,506x = 192,561 × 192,561
  4. Step 4: Simplify right side
    88,506x = 37,079,738,721
  5. Step 5: Solve for x
    x = 37,079,738,721/88,506
  6. Step 6: Final answer
    x = 418,951.70

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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.