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Finding the Third Proportional to 91,996 and 187,475

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Solution

The third proportional to 91,996 and 187,475 is: 382,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,996 : 187,475 = 187,475 : x
  2. Step 2: Convert to fraction form
    91,996/187,475 = 187,475/x
  3. Step 3: Cross multiply
    91,996x = 187,475 × 187,475
  4. Step 4: Simplify right side
    91,996x = 35,146,875,625
  5. Step 5: Solve for x
    x = 35,146,875,625/91,996
  6. Step 6: Final answer
    x = 382,047.87

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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.