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Finding the Third Proportional to 91,225 and 136,701

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Solution

The third proportional to 91,225 and 136,701 is: 204,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,225 : 136,701 = 136,701 : x
  2. Step 2: Convert to fraction form
    91,225/136,701 = 136,701/x
  3. Step 3: Cross multiply
    91,225x = 136,701 × 136,701
  4. Step 4: Simplify right side
    91,225x = 18,687,163,401
  5. Step 5: Solve for x
    x = 18,687,163,401/91,225
  6. Step 6: Final answer
    x = 204,846.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.