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Finding the Third Proportional to 106,126 and 231,938

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Solution

The third proportional to 106,126 and 231,938 is: 506,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,126 : 231,938 = 231,938 : x
  2. Step 2: Convert to fraction form
    106,126/231,938 = 231,938/x
  3. Step 3: Cross multiply
    106,126x = 231,938 × 231,938
  4. Step 4: Simplify right side
    106,126x = 53,795,235,844
  5. Step 5: Solve for x
    x = 53,795,235,844/106,126
  6. Step 6: Final answer
    x = 506,899.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.