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Finding the Third Proportional to 27,950 and 60,254

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Solution

The third proportional to 27,950 and 60,254 is: 129,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,950 : 60,254 = 60,254 : x
  2. Step 2: Convert to fraction form
    27,950/60,254 = 60,254/x
  3. Step 3: Cross multiply
    27,950x = 60,254 × 60,254
  4. Step 4: Simplify right side
    27,950x = 3,630,544,516
  5. Step 5: Solve for x
    x = 3,630,544,516/27,950
  6. Step 6: Final answer
    x = 129,894.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.