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Finding the Third Proportional to 113,266.50 and 179,943.75

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Solution

The third proportional to 113,266.50 and 179,943.75 is: 285,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,266.50 : 179,943.75 = 179,943.75 : x
  2. Step 2: Convert to fraction form
    113,266.50/179,943.75 = 179,943.75/x
  3. Step 3: Cross multiply
    113,266.50x = 179,943.75 × 179,943.75
  4. Step 4: Simplify right side
    113,266.50x = 32,379,753,164.06
  5. Step 5: Solve for x
    x = 32,379,753,164.06/113,266.50
  6. Step 6: Final answer
    x = 285,872.28

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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.