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Finding the Third Proportional to 49,774 and 107,851

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Solution

The third proportional to 49,774 and 107,851 is: 233,693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,774 : 107,851 = 107,851 : x
  2. Step 2: Convert to fraction form
    49,774/107,851 = 107,851/x
  3. Step 3: Cross multiply
    49,774x = 107,851 × 107,851
  4. Step 4: Simplify right side
    49,774x = 11,631,838,201
  5. Step 5: Solve for x
    x = 11,631,838,201/49,774
  6. Step 6: Final answer
    x = 233,693.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.