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Finding the Third Proportional to 75,440.25 and 140,181.75

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Solution

The third proportional to 75,440.25 and 140,181.75 is: 260,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,440.25 : 140,181.75 = 140,181.75 : x
  2. Step 2: Convert to fraction form
    75,440.25/140,181.75 = 140,181.75/x
  3. Step 3: Cross multiply
    75,440.25x = 140,181.75 × 140,181.75
  4. Step 4: Simplify right side
    75,440.25x = 19,650,923,033.06
  5. Step 5: Solve for x
    x = 19,650,923,033.06/75,440.25
  6. Step 6: Final answer
    x = 260,483.27

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.