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Finding the Third Proportional to 49,002.75 and 107,345.25

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Solution

The third proportional to 49,002.75 and 107,345.25 is: 235,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,002.75 : 107,345.25 = 107,345.25 : x
  2. Step 2: Convert to fraction form
    49,002.75/107,345.25 = 107,345.25/x
  3. Step 3: Cross multiply
    49,002.75x = 107,345.25 × 107,345.25
  4. Step 4: Simplify right side
    49,002.75x = 11,523,002,697.56
  5. Step 5: Solve for x
    x = 11,523,002,697.56/49,002.75
  6. Step 6: Final answer
    x = 235,150.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.