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Finding the Third Proportional to 68,180.25 and 145,836.75

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Solution

The third proportional to 68,180.25 and 145,836.75 is: 311,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,180.25 : 145,836.75 = 145,836.75 : x
  2. Step 2: Convert to fraction form
    68,180.25/145,836.75 = 145,836.75/x
  3. Step 3: Cross multiply
    68,180.25x = 145,836.75 × 145,836.75
  4. Step 4: Simplify right side
    68,180.25x = 21,268,357,650.56
  5. Step 5: Solve for x
    x = 21,268,357,650.56/68,180.25
  6. Step 6: Final answer
    x = 311,943.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.