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Finding the Third Proportional to 106,871 and 235,186

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Solution

The third proportional to 106,871 and 235,186 is: 517,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,871 : 235,186 = 235,186 : x
  2. Step 2: Convert to fraction form
    106,871/235,186 = 235,186/x
  3. Step 3: Cross multiply
    106,871x = 235,186 × 235,186
  4. Step 4: Simplify right side
    106,871x = 55,312,454,596
  5. Step 5: Solve for x
    x = 55,312,454,596/106,871
  6. Step 6: Final answer
    x = 517,562.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.