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Finding the Third Proportional to 56,699.25 and 123,759.75

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Solution

The third proportional to 56,699.25 and 123,759.75 is: 270,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,699.25 : 123,759.75 = 123,759.75 : x
  2. Step 2: Convert to fraction form
    56,699.25/123,759.75 = 123,759.75/x
  3. Step 3: Cross multiply
    56,699.25x = 123,759.75 × 123,759.75
  4. Step 4: Simplify right side
    56,699.25x = 15,316,475,720.06
  5. Step 5: Solve for x
    x = 15,316,475,720.06/56,699.25
  6. Step 6: Final answer
    x = 270,135.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.