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Finding the Third Proportional to 69,030.56 and 166,254.19

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Solution

The third proportional to 69,030.56 and 166,254.19 is: 400,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,030.56 : 166,254.19 = 166,254.19 : x
  2. Step 2: Convert to fraction form
    69,030.56/166,254.19 = 166,254.19/x
  3. Step 3: Cross multiply
    69,030.56x = 166,254.19 × 166,254.19
  4. Step 4: Simplify right side
    69,030.56x = 27,640,454,861.29
  5. Step 5: Solve for x
    x = 27,640,454,861.29/69,030.56
  6. Step 6: Final answer
    x = 400,408.95

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.