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Finding the Third Proportional to 84,533 and 126,538

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Solution

The third proportional to 84,533 and 126,538 is: 189,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,533 : 126,538 = 126,538 : x
  2. Step 2: Convert to fraction form
    84,533/126,538 = 126,538/x
  3. Step 3: Cross multiply
    84,533x = 126,538 × 126,538
  4. Step 4: Simplify right side
    84,533x = 16,011,865,444
  5. Step 5: Solve for x
    x = 16,011,865,444/84,533
  6. Step 6: Final answer
    x = 189,415.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.