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Finding the Third Proportional to 76,210 and 166,949

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Solution

The third proportional to 76,210 and 166,949 is: 365,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,210 : 166,949 = 166,949 : x
  2. Step 2: Convert to fraction form
    76,210/166,949 = 166,949/x
  3. Step 3: Cross multiply
    76,210x = 166,949 × 166,949
  4. Step 4: Simplify right side
    76,210x = 27,871,968,601
  5. Step 5: Solve for x
    x = 27,871,968,601/76,210
  6. Step 6: Final answer
    x = 365,725.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.