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Finding the Third Proportional to 49,702 and 73,878

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Solution

The third proportional to 49,702 and 73,878 is: 109,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,702 : 73,878 = 73,878 : x
  2. Step 2: Convert to fraction form
    49,702/73,878 = 73,878/x
  3. Step 3: Cross multiply
    49,702x = 73,878 × 73,878
  4. Step 4: Simplify right side
    49,702x = 5,457,958,884
  5. Step 5: Solve for x
    x = 5,457,958,884/49,702
  6. Step 6: Final answer
    x = 109,813.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.