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Finding the Third Proportional to 47,786 and 75,916

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Solution

The third proportional to 47,786 and 75,916 is: 120,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,786 : 75,916 = 75,916 : x
  2. Step 2: Convert to fraction form
    47,786/75,916 = 75,916/x
  3. Step 3: Cross multiply
    47,786x = 75,916 × 75,916
  4. Step 4: Simplify right side
    47,786x = 5,763,239,056
  5. Step 5: Solve for x
    x = 5,763,239,056/47,786
  6. Step 6: Final answer
    x = 120,605.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.