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Finding the Third Proportional to 106,001 and 231,925

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Solution

The third proportional to 106,001 and 231,925 is: 507,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,001 : 231,925 = 231,925 : x
  2. Step 2: Convert to fraction form
    106,001/231,925 = 231,925/x
  3. Step 3: Cross multiply
    106,001x = 231,925 × 231,925
  4. Step 4: Simplify right side
    106,001x = 53,789,205,625
  5. Step 5: Solve for x
    x = 53,789,205,625/106,001
  6. Step 6: Final answer
    x = 507,440.55

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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.