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Finding the Third Proportional to 47,876 and 75,774

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Solution

The third proportional to 47,876 and 75,774 is: 119,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,876 : 75,774 = 75,774 : x
  2. Step 2: Convert to fraction form
    47,876/75,774 = 75,774/x
  3. Step 3: Cross multiply
    47,876x = 75,774 × 75,774
  4. Step 4: Simplify right side
    47,876x = 5,741,699,076
  5. Step 5: Solve for x
    x = 5,741,699,076/47,876
  6. Step 6: Final answer
    x = 119,928.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.