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Finding the Third Proportional to 84,494 and 126,488

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Solution

The third proportional to 84,494 and 126,488 is: 189,353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,494 : 126,488 = 126,488 : x
  2. Step 2: Convert to fraction form
    84,494/126,488 = 126,488/x
  3. Step 3: Cross multiply
    84,494x = 126,488 × 126,488
  4. Step 4: Simplify right side
    84,494x = 15,999,214,144
  5. Step 5: Solve for x
    x = 15,999,214,144/84,494
  6. Step 6: Final answer
    x = 189,353.26

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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.