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Finding the Third Proportional to 77,832 and 118,692

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Solution

The third proportional to 77,832 and 118,692 is: 181,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,832 : 118,692 = 118,692 : x
  2. Step 2: Convert to fraction form
    77,832/118,692 = 118,692/x
  3. Step 3: Cross multiply
    77,832x = 118,692 × 118,692
  4. Step 4: Simplify right side
    77,832x = 14,087,790,864
  5. Step 5: Solve for x
    x = 14,087,790,864/77,832
  6. Step 6: Final answer
    x = 181,002.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.