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Finding the Third Proportional to 81,538 and 124,738

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Solution

The third proportional to 81,538 and 124,738 is: 190,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,538 : 124,738 = 124,738 : x
  2. Step 2: Convert to fraction form
    81,538/124,738 = 124,738/x
  3. Step 3: Cross multiply
    81,538x = 124,738 × 124,738
  4. Step 4: Simplify right side
    81,538x = 15,559,568,644
  5. Step 5: Solve for x
    x = 15,559,568,644/81,538
  6. Step 6: Final answer
    x = 190,825.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.