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Finding the Third Proportional to 49,674 and 75,153

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Solution

The third proportional to 49,674 and 75,153 is: 113,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,674 : 75,153 = 75,153 : x
  2. Step 2: Convert to fraction form
    49,674/75,153 = 75,153/x
  3. Step 3: Cross multiply
    49,674x = 75,153 × 75,153
  4. Step 4: Simplify right side
    49,674x = 5,647,973,409
  5. Step 5: Solve for x
    x = 5,647,973,409/49,674
  6. Step 6: Final answer
    x = 113,700.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.