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Finding the Third Proportional to 91,842 and 187,566

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Solution

The third proportional to 91,842 and 187,566 is: 383,060.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,842 : 187,566 = 187,566 : x
  2. Step 2: Convert to fraction form
    91,842/187,566 = 187,566/x
  3. Step 3: Cross multiply
    91,842x = 187,566 × 187,566
  4. Step 4: Simplify right side
    91,842x = 35,181,004,356
  5. Step 5: Solve for x
    x = 35,181,004,356/91,842
  6. Step 6: Final answer
    x = 383,060.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.