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Finding the Third Proportional to 49,226 and 73,887

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Solution

The third proportional to 49,226 and 73,887 is: 110,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,226 : 73,887 = 73,887 : x
  2. Step 2: Convert to fraction form
    49,226/73,887 = 73,887/x
  3. Step 3: Cross multiply
    49,226x = 73,887 × 73,887
  4. Step 4: Simplify right side
    49,226x = 5,459,288,769
  5. Step 5: Solve for x
    x = 5,459,288,769/49,226
  6. Step 6: Final answer
    x = 110,902.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.