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Finding the Third Proportional to 123,110.75 and 264,610.75

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Solution

The third proportional to 123,110.75 and 264,610.75 is: 568,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,110.75 : 264,610.75 = 264,610.75 : x
  2. Step 2: Convert to fraction form
    123,110.75/264,610.75 = 264,610.75/x
  3. Step 3: Cross multiply
    123,110.75x = 264,610.75 × 264,610.75
  4. Step 4: Simplify right side
    123,110.75x = 70,018,849,015.56
  5. Step 5: Solve for x
    x = 70,018,849,015.56/123,110.75
  6. Step 6: Final answer
    x = 568,746.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.