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Finding the Third Proportional to 80,192 and 112,998

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Solution

The third proportional to 80,192 and 112,998 is: 159,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,192 : 112,998 = 112,998 : x
  2. Step 2: Convert to fraction form
    80,192/112,998 = 112,998/x
  3. Step 3: Cross multiply
    80,192x = 112,998 × 112,998
  4. Step 4: Simplify right side
    80,192x = 12,768,548,004
  5. Step 5: Solve for x
    x = 12,768,548,004/80,192
  6. Step 6: Final answer
    x = 159,224.71

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.