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Finding the Third Proportional to 49,072.50 and 75,529.13

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Solution

The third proportional to 49,072.50 and 75,529.13 is: 116,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,072.50 : 75,529.13 = 75,529.13 : x
  2. Step 2: Convert to fraction form
    49,072.50/75,529.13 = 75,529.13/x
  3. Step 3: Cross multiply
    49,072.50x = 75,529.13 × 75,529.13
  4. Step 4: Simplify right side
    49,072.50x = 5,704,648,723.27
  5. Step 5: Solve for x
    x = 5,704,648,723.27/49,072.50
  6. Step 6: Final answer
    x = 116,249.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.