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Finding the Third Proportional to 81,234 and 125,538

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Solution

The third proportional to 81,234 and 125,538 is: 194,004.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,234 : 125,538 = 125,538 : x
  2. Step 2: Convert to fraction form
    81,234/125,538 = 125,538/x
  3. Step 3: Cross multiply
    81,234x = 125,538 × 125,538
  4. Step 4: Simplify right side
    81,234x = 15,759,789,444
  5. Step 5: Solve for x
    x = 15,759,789,444/81,234
  6. Step 6: Final answer
    x = 194,004.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.