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Finding the Third Proportional to 68,262 and 141,975

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Solution

The third proportional to 68,262 and 141,975 is: 295,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,262 : 141,975 = 141,975 : x
  2. Step 2: Convert to fraction form
    68,262/141,975 = 141,975/x
  3. Step 3: Cross multiply
    68,262x = 141,975 × 141,975
  4. Step 4: Simplify right side
    68,262x = 20,156,900,625
  5. Step 5: Solve for x
    x = 20,156,900,625/68,262
  6. Step 6: Final answer
    x = 295,287.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.