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Finding the Third Proportional to 68,940 and 142,191

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Solution

The third proportional to 68,940 and 142,191 is: 293,273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,940 : 142,191 = 142,191 : x
  2. Step 2: Convert to fraction form
    68,940/142,191 = 142,191/x
  3. Step 3: Cross multiply
    68,940x = 142,191 × 142,191
  4. Step 4: Simplify right side
    68,940x = 20,218,280,481
  5. Step 5: Solve for x
    x = 20,218,280,481/68,940
  6. Step 6: Final answer
    x = 293,273.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.