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Finding the Third Proportional to 81,548 and 125,500

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Solution

The third proportional to 81,548 and 125,500 is: 193,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,548 : 125,500 = 125,500 : x
  2. Step 2: Convert to fraction form
    81,548/125,500 = 125,500/x
  3. Step 3: Cross multiply
    81,548x = 125,500 × 125,500
  4. Step 4: Simplify right side
    81,548x = 15,750,250,000
  5. Step 5: Solve for x
    x = 15,750,250,000/81,548
  6. Step 6: Final answer
    x = 193,140.85

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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.