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Finding the Third Proportional to 57,277.50 and 125,846

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Solution

The third proportional to 57,277.50 and 125,846 is: 276,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,277.50 : 125,846 = 125,846 : x
  2. Step 2: Convert to fraction form
    57,277.50/125,846 = 125,846/x
  3. Step 3: Cross multiply
    57,277.50x = 125,846 × 125,846
  4. Step 4: Simplify right side
    57,277.50x = 15,837,215,716
  5. Step 5: Solve for x
    x = 15,837,215,716/57,277.50
  6. Step 6: Final answer
    x = 276,499.77

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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.