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Finding the Third Proportional to 42,261.75 and 98,268.75

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Solution

The third proportional to 42,261.75 and 98,268.75 is: 228,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,261.75 : 98,268.75 = 98,268.75 : x
  2. Step 2: Convert to fraction form
    42,261.75/98,268.75 = 98,268.75/x
  3. Step 3: Cross multiply
    42,261.75x = 98,268.75 × 98,268.75
  4. Step 4: Simplify right side
    42,261.75x = 9,656,747,226.56
  5. Step 5: Solve for x
    x = 9,656,747,226.56/42,261.75
  6. Step 6: Final answer
    x = 228,498.52

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.