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Finding the Third Proportional to 114,116.75 and 166,949.38

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Solution

The third proportional to 114,116.75 and 166,949.38 is: 244,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,116.75 : 166,949.38 = 166,949.38 : x
  2. Step 2: Convert to fraction form
    114,116.75/166,949.38 = 166,949.38/x
  3. Step 3: Cross multiply
    114,116.75x = 166,949.38 × 166,949.38
  4. Step 4: Simplify right side
    114,116.75x = 27,872,093,812.89
  5. Step 5: Solve for x
    x = 27,872,093,812.89/114,116.75
  6. Step 6: Final answer
    x = 244,241.92

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.