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Finding the Third Proportional to 84,882.94 and 129,169.69

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Solution

The third proportional to 84,882.94 and 129,169.69 is: 196,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,882.94 : 129,169.69 = 129,169.69 : x
  2. Step 2: Convert to fraction form
    84,882.94/129,169.69 = 129,169.69/x
  3. Step 3: Cross multiply
    84,882.94x = 129,169.69 × 129,169.69
  4. Step 4: Simplify right side
    84,882.94x = 16,684,808,168.85
  5. Step 5: Solve for x
    x = 16,684,808,168.85/84,882.94
  6. Step 6: Final answer
    x = 196,562.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.