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Finding the Third Proportional to 43,127 and 100,736

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Solution

The third proportional to 43,127 and 100,736 is: 235,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,127 : 100,736 = 100,736 : x
  2. Step 2: Convert to fraction form
    43,127/100,736 = 100,736/x
  3. Step 3: Cross multiply
    43,127x = 100,736 × 100,736
  4. Step 4: Simplify right side
    43,127x = 10,147,741,696
  5. Step 5: Solve for x
    x = 10,147,741,696/43,127
  6. Step 6: Final answer
    x = 235,299.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.