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Finding the Third Proportional to 106,776 and 162,864

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Solution

The third proportional to 106,776 and 162,864 is: 248,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,776 : 162,864 = 162,864 : x
  2. Step 2: Convert to fraction form
    106,776/162,864 = 162,864/x
  3. Step 3: Cross multiply
    106,776x = 162,864 × 162,864
  4. Step 4: Simplify right side
    106,776x = 26,524,682,496
  5. Step 5: Solve for x
    x = 26,524,682,496/106,776
  6. Step 6: Final answer
    x = 248,414.27

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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.