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Finding the Third Proportional to 81,525 and 125,325

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Solution

The third proportional to 81,525 and 125,325 is: 192,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,525 : 125,325 = 125,325 : x
  2. Step 2: Convert to fraction form
    81,525/125,325 = 125,325/x
  3. Step 3: Cross multiply
    81,525x = 125,325 × 125,325
  4. Step 4: Simplify right side
    81,525x = 15,706,355,625
  5. Step 5: Solve for x
    x = 15,706,355,625/81,525
  6. Step 6: Final answer
    x = 192,656.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.