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Finding the Third Proportional to 91,982 and 137,163

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Solution

The third proportional to 91,982 and 137,163 is: 204,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,982 : 137,163 = 137,163 : x
  2. Step 2: Convert to fraction form
    91,982/137,163 = 137,163/x
  3. Step 3: Cross multiply
    91,982x = 137,163 × 137,163
  4. Step 4: Simplify right side
    91,982x = 18,813,688,569
  5. Step 5: Solve for x
    x = 18,813,688,569/91,982
  6. Step 6: Final answer
    x = 204,536.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.