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Finding the Third Proportional to 65,118.94 and 138,231.56

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Solution

The third proportional to 65,118.94 and 138,231.56 is: 293,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,118.94 : 138,231.56 = 138,231.56 : x
  2. Step 2: Convert to fraction form
    65,118.94/138,231.56 = 138,231.56/x
  3. Step 3: Cross multiply
    65,118.94x = 138,231.56 × 138,231.56
  4. Step 4: Simplify right side
    65,118.94x = 19,107,964,871.19
  5. Step 5: Solve for x
    x = 19,107,964,871.19/65,118.94
  6. Step 6: Final answer
    x = 293,431.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.