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Finding the Third Proportional to 69,427.13 and 106,003.69

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Solution

The third proportional to 69,427.13 and 106,003.69 is: 161,850.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,427.13 : 106,003.69 = 106,003.69 : x
  2. Step 2: Convert to fraction form
    69,427.13/106,003.69 = 106,003.69/x
  3. Step 3: Cross multiply
    69,427.13x = 106,003.69 × 106,003.69
  4. Step 4: Simplify right side
    69,427.13x = 11,236,781,763.60
  5. Step 5: Solve for x
    x = 11,236,781,763.60/69,427.13
  6. Step 6: Final answer
    x = 161,850.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.