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Finding the Third Proportional to 49,533 and 107,905

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Solution

The third proportional to 49,533 and 107,905 is: 235,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,533 : 107,905 = 107,905 : x
  2. Step 2: Convert to fraction form
    49,533/107,905 = 107,905/x
  3. Step 3: Cross multiply
    49,533x = 107,905 × 107,905
  4. Step 4: Simplify right side
    49,533x = 11,643,489,025
  5. Step 5: Solve for x
    x = 11,643,489,025/49,533
  6. Step 6: Final answer
    x = 235,065.29

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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.