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Finding the Third Proportional to 57,277.76 and 125,856.44

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Solution

The third proportional to 57,277.76 and 125,856.44 is: 276,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,277.76 : 125,856.44 = 125,856.44 : x
  2. Step 2: Convert to fraction form
    57,277.76/125,856.44 = 125,856.44/x
  3. Step 3: Cross multiply
    57,277.76x = 125,856.44 × 125,856.44
  4. Step 4: Simplify right side
    57,277.76x = 15,839,843,351.82
  5. Step 5: Solve for x
    x = 15,839,843,351.82/57,277.76
  6. Step 6: Final answer
    x = 276,544.40

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Why These Related Problems?

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