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Finding the Third Proportional to 52,454.25 and 81,786.38

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Solution

The third proportional to 52,454.25 and 81,786.38 is: 127,520.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,454.25 : 81,786.38 = 81,786.38 : x
  2. Step 2: Convert to fraction form
    52,454.25/81,786.38 = 81,786.38/x
  3. Step 3: Cross multiply
    52,454.25x = 81,786.38 × 81,786.38
  4. Step 4: Simplify right side
    52,454.25x = 6,689,011,135.64
  5. Step 5: Solve for x
    x = 6,689,011,135.64/52,454.25
  6. Step 6: Final answer
    x = 127,520.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.