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Finding the Third Proportional to 99,992.25 and 140,631.75

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Solution

The third proportional to 99,992.25 and 140,631.75 is: 197,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,992.25 : 140,631.75 = 140,631.75 : x
  2. Step 2: Convert to fraction form
    99,992.25/140,631.75 = 140,631.75/x
  3. Step 3: Cross multiply
    99,992.25x = 140,631.75 × 140,631.75
  4. Step 4: Simplify right side
    99,992.25x = 19,777,289,108.06
  5. Step 5: Solve for x
    x = 19,777,289,108.06/99,992.25
  6. Step 6: Final answer
    x = 197,788.22

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Why These Related Problems?

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