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Finding the Third Proportional to 49,104 and 75,085

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Solution

The third proportional to 49,104 and 75,085 is: 114,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,104 : 75,085 = 75,085 : x
  2. Step 2: Convert to fraction form
    49,104/75,085 = 75,085/x
  3. Step 3: Cross multiply
    49,104x = 75,085 × 75,085
  4. Step 4: Simplify right side
    49,104x = 5,637,757,225
  5. Step 5: Solve for x
    x = 5,637,757,225/49,104
  6. Step 6: Final answer
    x = 114,812.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.