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Finding the Third Proportional to 106,037 and 231,127

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Solution

The third proportional to 106,037 and 231,127 is: 503,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,037 : 231,127 = 231,127 : x
  2. Step 2: Convert to fraction form
    106,037/231,127 = 231,127/x
  3. Step 3: Cross multiply
    106,037x = 231,127 × 231,127
  4. Step 4: Simplify right side
    106,037x = 53,419,690,129
  5. Step 5: Solve for x
    x = 53,419,690,129/106,037
  6. Step 6: Final answer
    x = 503,783.49

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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.