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Finding the Third Proportional to 50,452.88 and 107,055

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Solution

The third proportional to 50,452.88 and 107,055 is: 227,157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,452.88 : 107,055 = 107,055 : x
  2. Step 2: Convert to fraction form
    50,452.88/107,055 = 107,055/x
  3. Step 3: Cross multiply
    50,452.88x = 107,055 × 107,055
  4. Step 4: Simplify right side
    50,452.88x = 11,460,773,025
  5. Step 5: Solve for x
    x = 11,460,773,025/50,452.88
  6. Step 6: Final answer
    x = 227,157.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.