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Finding the Third Proportional to 49,317 and 107,841

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Solution

The third proportional to 49,317 and 107,841 is: 235,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,317 : 107,841 = 107,841 : x
  2. Step 2: Convert to fraction form
    49,317/107,841 = 107,841/x
  3. Step 3: Cross multiply
    49,317x = 107,841 × 107,841
  4. Step 4: Simplify right side
    49,317x = 11,629,681,281
  5. Step 5: Solve for x
    x = 11,629,681,281/49,317
  6. Step 6: Final answer
    x = 235,814.86

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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.