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Finding the Third Proportional to 43,481 and 100,265

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Solution

The third proportional to 43,481 and 100,265 is: 231,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,481 : 100,265 = 100,265 : x
  2. Step 2: Convert to fraction form
    43,481/100,265 = 100,265/x
  3. Step 3: Cross multiply
    43,481x = 100,265 × 100,265
  4. Step 4: Simplify right side
    43,481x = 10,053,070,225
  5. Step 5: Solve for x
    x = 10,053,070,225/43,481
  6. Step 6: Final answer
    x = 231,206.05

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.