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Finding the Third Proportional to 62,842.50 and 135,525

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Solution

The third proportional to 62,842.50 and 135,525 is: 292,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,842.50 : 135,525 = 135,525 : x
  2. Step 2: Convert to fraction form
    62,842.50/135,525 = 135,525/x
  3. Step 3: Cross multiply
    62,842.50x = 135,525 × 135,525
  4. Step 4: Simplify right side
    62,842.50x = 18,367,025,625
  5. Step 5: Solve for x
    x = 18,367,025,625/62,842.50
  6. Step 6: Final answer
    x = 292,270.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.