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Finding the Third Proportional to 84,633.12 and 131,468.91

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Solution

The third proportional to 84,633.12 and 131,468.91 is: 204,223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,633.12 : 131,468.91 = 131,468.91 : x
  2. Step 2: Convert to fraction form
    84,633.12/131,468.91 = 131,468.91/x
  3. Step 3: Cross multiply
    84,633.12x = 131,468.91 × 131,468.91
  4. Step 4: Simplify right side
    84,633.12x = 17,284,073,310.57
  5. Step 5: Solve for x
    x = 17,284,073,310.57/84,633.12
  6. Step 6: Final answer
    x = 204,223.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.