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Finding the Third Proportional to 91,760 and 134,098

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Solution

The third proportional to 91,760 and 134,098 is: 195,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,760 : 134,098 = 134,098 : x
  2. Step 2: Convert to fraction form
    91,760/134,098 = 134,098/x
  3. Step 3: Cross multiply
    91,760x = 134,098 × 134,098
  4. Step 4: Simplify right side
    91,760x = 17,982,273,604
  5. Step 5: Solve for x
    x = 17,982,273,604/91,760
  6. Step 6: Final answer
    x = 195,970.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.