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Finding the Third Proportional to 50,023.13 and 118,082.25

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Solution

The third proportional to 50,023.13 and 118,082.25 is: 278,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,023.13 : 118,082.25 = 118,082.25 : x
  2. Step 2: Convert to fraction form
    50,023.13/118,082.25 = 118,082.25/x
  3. Step 3: Cross multiply
    50,023.13x = 118,082.25 × 118,082.25
  4. Step 4: Simplify right side
    50,023.13x = 13,943,417,765.06
  5. Step 5: Solve for x
    x = 13,943,417,765.06/50,023.13
  6. Step 6: Final answer
    x = 278,739.44

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