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Finding the Third Proportional to 114,116.50 and 166,949

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Solution

The third proportional to 114,116.50 and 166,949 is: 244,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,116.50 : 166,949 = 166,949 : x
  2. Step 2: Convert to fraction form
    114,116.50/166,949 = 166,949/x
  3. Step 3: Cross multiply
    114,116.50x = 166,949 × 166,949
  4. Step 4: Simplify right side
    114,116.50x = 27,871,968,601
  5. Step 5: Solve for x
    x = 27,871,968,601/114,116.50
  6. Step 6: Final answer
    x = 244,241.36

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Why These Related Problems?

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