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Finding the Third Proportional to 83,109 and 124,330

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Solution

The third proportional to 83,109 and 124,330 is: 185,996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,109 : 124,330 = 124,330 : x
  2. Step 2: Convert to fraction form
    83,109/124,330 = 124,330/x
  3. Step 3: Cross multiply
    83,109x = 124,330 × 124,330
  4. Step 4: Simplify right side
    83,109x = 15,457,948,900
  5. Step 5: Solve for x
    x = 15,457,948,900/83,109
  6. Step 6: Final answer
    x = 185,996.09

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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.