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Finding the Third Proportional to 57,238 and 125,410

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Solution

The third proportional to 57,238 and 125,410 is: 274,776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,238 : 125,410 = 125,410 : x
  2. Step 2: Convert to fraction form
    57,238/125,410 = 125,410/x
  3. Step 3: Cross multiply
    57,238x = 125,410 × 125,410
  4. Step 4: Simplify right side
    57,238x = 15,727,668,100
  5. Step 5: Solve for x
    x = 15,727,668,100/57,238
  6. Step 6: Final answer
    x = 274,776.69

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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.