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Finding the Third Proportional to 91,253.25 and 194,373

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Solution

The third proportional to 91,253.25 and 194,373 is: 414,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,253.25 : 194,373 = 194,373 : x
  2. Step 2: Convert to fraction form
    91,253.25/194,373 = 194,373/x
  3. Step 3: Cross multiply
    91,253.25x = 194,373 × 194,373
  4. Step 4: Simplify right side
    91,253.25x = 37,780,863,129
  5. Step 5: Solve for x
    x = 37,780,863,129/91,253.25
  6. Step 6: Final answer
    x = 414,022.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.