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Finding the Third Proportional to 49,054 and 73,731

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Solution

The third proportional to 49,054 and 73,731 is: 110,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,054 : 73,731 = 73,731 : x
  2. Step 2: Convert to fraction form
    49,054/73,731 = 73,731/x
  3. Step 3: Cross multiply
    49,054x = 73,731 × 73,731
  4. Step 4: Simplify right side
    49,054x = 5,436,260,361
  5. Step 5: Solve for x
    x = 5,436,260,361/49,054
  6. Step 6: Final answer
    x = 110,821.96

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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.