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Finding the Third Proportional to 68,542.50 and 165,122.25

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Solution

The third proportional to 68,542.50 and 165,122.25 is: 397,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,542.50 : 165,122.25 = 165,122.25 : x
  2. Step 2: Convert to fraction form
    68,542.50/165,122.25 = 165,122.25/x
  3. Step 3: Cross multiply
    68,542.50x = 165,122.25 × 165,122.25
  4. Step 4: Simplify right side
    68,542.50x = 27,265,357,445.06
  5. Step 5: Solve for x
    x = 27,265,357,445.06/68,542.50
  6. Step 6: Final answer
    x = 397,787.61

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.