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Finding the Third Proportional to 57,277.50 and 125,463

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Solution

The third proportional to 57,277.50 and 125,463 is: 274,819.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,277.50 : 125,463 = 125,463 : x
  2. Step 2: Convert to fraction form
    57,277.50/125,463 = 125,463/x
  3. Step 3: Cross multiply
    57,277.50x = 125,463 × 125,463
  4. Step 4: Simplify right side
    57,277.50x = 15,740,964,369
  5. Step 5: Solve for x
    x = 15,740,964,369/57,277.50
  6. Step 6: Final answer
    x = 274,819.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.