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Finding the Third Proportional to 57,394 and 126,388

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Solution

The third proportional to 57,394 and 126,388 is: 278,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,394 : 126,388 = 126,388 : x
  2. Step 2: Convert to fraction form
    57,394/126,388 = 126,388/x
  3. Step 3: Cross multiply
    57,394x = 126,388 × 126,388
  4. Step 4: Simplify right side
    57,394x = 15,973,926,544
  5. Step 5: Solve for x
    x = 15,973,926,544/57,394
  6. Step 6: Final answer
    x = 278,320.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.