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Finding the Third Proportional to 49,134 and 74,612

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Solution

The third proportional to 49,134 and 74,612 is: 113,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,134 : 74,612 = 74,612 : x
  2. Step 2: Convert to fraction form
    49,134/74,612 = 74,612/x
  3. Step 3: Cross multiply
    49,134x = 74,612 × 74,612
  4. Step 4: Simplify right side
    49,134x = 5,566,950,544
  5. Step 5: Solve for x
    x = 5,566,950,544/49,134
  6. Step 6: Final answer
    x = 113,301.39

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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.