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Finding the Third Proportional to 114,680.25 and 149,865.75

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Solution

The third proportional to 114,680.25 and 149,865.75 is: 195,846.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,680.25 : 149,865.75 = 149,865.75 : x
  2. Step 2: Convert to fraction form
    114,680.25/149,865.75 = 149,865.75/x
  3. Step 3: Cross multiply
    114,680.25x = 149,865.75 × 149,865.75
  4. Step 4: Simplify right side
    114,680.25x = 22,459,743,023.06
  5. Step 5: Solve for x
    x = 22,459,743,023.06/114,680.25
  6. Step 6: Final answer
    x = 195,846.65

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.