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Finding the Third Proportional to 60,530 and 133,004

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Solution

The third proportional to 60,530 and 133,004 is: 292,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,530 : 133,004 = 133,004 : x
  2. Step 2: Convert to fraction form
    60,530/133,004 = 133,004/x
  3. Step 3: Cross multiply
    60,530x = 133,004 × 133,004
  4. Step 4: Simplify right side
    60,530x = 17,690,064,016
  5. Step 5: Solve for x
    x = 17,690,064,016/60,530
  6. Step 6: Final answer
    x = 292,252.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.