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Finding the Third Proportional to 52,158.62 and 111,697.42

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Solution

The third proportional to 52,158.62 and 111,697.42 is: 239,199.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,158.62 : 111,697.42 = 111,697.42 : x
  2. Step 2: Convert to fraction form
    52,158.62/111,697.42 = 111,697.42/x
  3. Step 3: Cross multiply
    52,158.62x = 111,697.42 × 111,697.42
  4. Step 4: Simplify right side
    52,158.62x = 12,476,313,180.89
  5. Step 5: Solve for x
    x = 12,476,313,180.89/52,158.62
  6. Step 6: Final answer
    x = 239,199.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.