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Finding the Third Proportional to 49,738 and 75,087

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Solution

The third proportional to 49,738 and 75,087 is: 113,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,738 : 75,087 = 75,087 : x
  2. Step 2: Convert to fraction form
    49,738/75,087 = 75,087/x
  3. Step 3: Cross multiply
    49,738x = 75,087 × 75,087
  4. Step 4: Simplify right side
    49,738x = 5,638,057,569
  5. Step 5: Solve for x
    x = 5,638,057,569/49,738
  6. Step 6: Final answer
    x = 113,355.13

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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.