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Finding the Third Proportional to 106,088 and 231,112

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Solution

The third proportional to 106,088 and 231,112 is: 503,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,088 : 231,112 = 231,112 : x
  2. Step 2: Convert to fraction form
    106,088/231,112 = 231,112/x
  3. Step 3: Cross multiply
    106,088x = 231,112 × 231,112
  4. Step 4: Simplify right side
    106,088x = 53,412,756,544
  5. Step 5: Solve for x
    x = 53,412,756,544/106,088
  6. Step 6: Final answer
    x = 503,475.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.