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Finding the Third Proportional to 68,200 and 149,940

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Solution

The third proportional to 68,200 and 149,940 is: 329,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,200 : 149,940 = 149,940 : x
  2. Step 2: Convert to fraction form
    68,200/149,940 = 149,940/x
  3. Step 3: Cross multiply
    68,200x = 149,940 × 149,940
  4. Step 4: Simplify right side
    68,200x = 22,482,003,600
  5. Step 5: Solve for x
    x = 22,482,003,600/68,200
  6. Step 6: Final answer
    x = 329,648.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.