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Finding the Third Proportional to 39,760 and 84,118

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Solution

The third proportional to 39,760 and 84,118 is: 177,963.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,760 : 84,118 = 84,118 : x
  2. Step 2: Convert to fraction form
    39,760/84,118 = 84,118/x
  3. Step 3: Cross multiply
    39,760x = 84,118 × 84,118
  4. Step 4: Simplify right side
    39,760x = 7,075,837,924
  5. Step 5: Solve for x
    x = 7,075,837,924/39,760
  6. Step 6: Final answer
    x = 177,963.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.