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Finding the Third Proportional to 73,086 and 112,098

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Solution

The third proportional to 73,086 and 112,098 is: 171,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,086 : 112,098 = 112,098 : x
  2. Step 2: Convert to fraction form
    73,086/112,098 = 112,098/x
  3. Step 3: Cross multiply
    73,086x = 112,098 × 112,098
  4. Step 4: Simplify right side
    73,086x = 12,565,961,604
  5. Step 5: Solve for x
    x = 12,565,961,604/73,086
  6. Step 6: Final answer
    x = 171,933.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.