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Finding the Third Proportional to 68,077.13 and 141,760.13

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Solution

The third proportional to 68,077.13 and 141,760.13 is: 295,193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,077.13 : 141,760.13 = 141,760.13 : x
  2. Step 2: Convert to fraction form
    68,077.13/141,760.13 = 141,760.13/x
  3. Step 3: Cross multiply
    68,077.13x = 141,760.13 × 141,760.13
  4. Step 4: Simplify right side
    68,077.13x = 20,095,933,040.02
  5. Step 5: Solve for x
    x = 20,095,933,040.02/68,077.13
  6. Step 6: Final answer
    x = 295,193.62

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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.