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Finding the Third Proportional to 55,647 and 131,229.50

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Solution

The third proportional to 55,647 and 131,229.50 is: 309,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,647 : 131,229.50 = 131,229.50 : x
  2. Step 2: Convert to fraction form
    55,647/131,229.50 = 131,229.50/x
  3. Step 3: Cross multiply
    55,647x = 131,229.50 × 131,229.50
  4. Step 4: Simplify right side
    55,647x = 17,221,181,670.25
  5. Step 5: Solve for x
    x = 17,221,181,670.25/55,647
  6. Step 6: Final answer
    x = 309,471.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.