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Finding the Third Proportional to 99,977.25 and 158,997.75

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Solution

The third proportional to 99,977.25 and 158,997.75 is: 252,860.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,977.25 : 158,997.75 = 158,997.75 : x
  2. Step 2: Convert to fraction form
    99,977.25/158,997.75 = 158,997.75/x
  3. Step 3: Cross multiply
    99,977.25x = 158,997.75 × 158,997.75
  4. Step 4: Simplify right side
    99,977.25x = 25,280,284,505.06
  5. Step 5: Solve for x
    x = 25,280,284,505.06/99,977.25
  6. Step 6: Final answer
    x = 252,860.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.