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Finding the Third Proportional to 68,220 and 138,390.75

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Solution

The third proportional to 68,220 and 138,390.75 is: 280,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,220 : 138,390.75 = 138,390.75 : x
  2. Step 2: Convert to fraction form
    68,220/138,390.75 = 138,390.75/x
  3. Step 3: Cross multiply
    68,220x = 138,390.75 × 138,390.75
  4. Step 4: Simplify right side
    68,220x = 19,151,999,685.56
  5. Step 5: Solve for x
    x = 19,151,999,685.56/68,220
  6. Step 6: Final answer
    x = 280,738.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.