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Finding the Third Proportional to 84,262 and 126,736

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Solution

The third proportional to 84,262 and 126,736 is: 190,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,262 : 126,736 = 126,736 : x
  2. Step 2: Convert to fraction form
    84,262/126,736 = 126,736/x
  3. Step 3: Cross multiply
    84,262x = 126,736 × 126,736
  4. Step 4: Simplify right side
    84,262x = 16,062,013,696
  5. Step 5: Solve for x
    x = 16,062,013,696/84,262
  6. Step 6: Final answer
    x = 190,619.90

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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.