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Finding the Third Proportional to 138,282.19 and 189,246.38

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Solution

The third proportional to 138,282.19 and 189,246.38 is: 258,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,282.19 : 189,246.38 = 189,246.38 : x
  2. Step 2: Convert to fraction form
    138,282.19/189,246.38 = 189,246.38/x
  3. Step 3: Cross multiply
    138,282.19x = 189,246.38 × 189,246.38
  4. Step 4: Simplify right side
    138,282.19x = 35,814,190,450.64
  5. Step 5: Solve for x
    x = 35,814,190,450.64/138,282.19
  6. Step 6: Final answer
    x = 258,993.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.