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Finding the Third Proportional to 65,118 and 133,692

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Solution

The third proportional to 65,118 and 133,692 is: 274,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,118 : 133,692 = 133,692 : x
  2. Step 2: Convert to fraction form
    65,118/133,692 = 133,692/x
  3. Step 3: Cross multiply
    65,118x = 133,692 × 133,692
  4. Step 4: Simplify right side
    65,118x = 17,873,550,864
  5. Step 5: Solve for x
    x = 17,873,550,864/65,118
  6. Step 6: Final answer
    x = 274,479.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.