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Finding the Third Proportional to 105,618.94 and 162,118.97

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Solution

The third proportional to 105,618.94 and 162,118.97 is: 248,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,618.94 : 162,118.97 = 162,118.97 : x
  2. Step 2: Convert to fraction form
    105,618.94/162,118.97 = 162,118.97/x
  3. Step 3: Cross multiply
    105,618.94x = 162,118.97 × 162,118.97
  4. Step 4: Simplify right side
    105,618.94x = 26,282,560,028.56
  5. Step 5: Solve for x
    x = 26,282,560,028.56/105,618.94
  6. Step 6: Final answer
    x = 248,843.25

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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.