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Finding the Third Proportional to 91,772 and 194,560

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Solution

The third proportional to 91,772 and 194,560 is: 412,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,772 : 194,560 = 194,560 : x
  2. Step 2: Convert to fraction form
    91,772/194,560 = 194,560/x
  3. Step 3: Cross multiply
    91,772x = 194,560 × 194,560
  4. Step 4: Simplify right side
    91,772x = 37,853,593,600
  5. Step 5: Solve for x
    x = 37,853,593,600/91,772
  6. Step 6: Final answer
    x = 412,474.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.