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Finding the Third Proportional to 52,872.43 and 108,324.84

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Solution

The third proportional to 52,872.43 and 108,324.84 is: 221,935.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,872.43 : 108,324.84 = 108,324.84 : x
  2. Step 2: Convert to fraction form
    52,872.43/108,324.84 = 108,324.84/x
  3. Step 3: Cross multiply
    52,872.43x = 108,324.84 × 108,324.84
  4. Step 4: Simplify right side
    52,872.43x = 11,734,271,773.46
  5. Step 5: Solve for x
    x = 11,734,271,773.46/52,872.43
  6. Step 6: Final answer
    x = 221,935.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.