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Finding the Third Proportional to 48,159 and 73,077

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Solution

The third proportional to 48,159 and 73,077 is: 110,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,159 : 73,077 = 73,077 : x
  2. Step 2: Convert to fraction form
    48,159/73,077 = 73,077/x
  3. Step 3: Cross multiply
    48,159x = 73,077 × 73,077
  4. Step 4: Simplify right side
    48,159x = 5,340,247,929
  5. Step 5: Solve for x
    x = 5,340,247,929/48,159
  6. Step 6: Final answer
    x = 110,887.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.