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Finding the Third Proportional to 43,354 and 81,524

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Solution

The third proportional to 43,354 and 81,524 is: 153,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,354 : 81,524 = 81,524 : x
  2. Step 2: Convert to fraction form
    43,354/81,524 = 81,524/x
  3. Step 3: Cross multiply
    43,354x = 81,524 × 81,524
  4. Step 4: Simplify right side
    43,354x = 6,646,162,576
  5. Step 5: Solve for x
    x = 6,646,162,576/43,354
  6. Step 6: Final answer
    x = 153,299.87

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.