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Finding the Third Proportional to 91,736 and 187,359

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Solution

The third proportional to 91,736 and 187,359 is: 382,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,736 : 187,359 = 187,359 : x
  2. Step 2: Convert to fraction form
    91,736/187,359 = 187,359/x
  3. Step 3: Cross multiply
    91,736x = 187,359 × 187,359
  4. Step 4: Simplify right side
    91,736x = 35,103,394,881
  5. Step 5: Solve for x
    x = 35,103,394,881/91,736
  6. Step 6: Final answer
    x = 382,656.70

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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.