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Finding the Third Proportional to 123,758 and 254,078

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Solution

The third proportional to 123,758 and 254,078 is: 521,627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,758 : 254,078 = 254,078 : x
  2. Step 2: Convert to fraction form
    123,758/254,078 = 254,078/x
  3. Step 3: Cross multiply
    123,758x = 254,078 × 254,078
  4. Step 4: Simplify right side
    123,758x = 64,555,630,084
  5. Step 5: Solve for x
    x = 64,555,630,084/123,758
  6. Step 6: Final answer
    x = 521,627.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.