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Finding the Third Proportional to 135,754.31 and 178,517.25

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Solution

The third proportional to 135,754.31 and 178,517.25 is: 234,750.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,754.31 : 178,517.25 = 178,517.25 : x
  2. Step 2: Convert to fraction form
    135,754.31/178,517.25 = 178,517.25/x
  3. Step 3: Cross multiply
    135,754.31x = 178,517.25 × 178,517.25
  4. Step 4: Simplify right side
    135,754.31x = 31,868,408,547.56
  5. Step 5: Solve for x
    x = 31,868,408,547.56/135,754.31
  6. Step 6: Final answer
    x = 234,750.62

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.