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Finding the Third Proportional to 49,327 and 107,881

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Solution

The third proportional to 49,327 and 107,881 is: 235,941.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,327 : 107,881 = 107,881 : x
  2. Step 2: Convert to fraction form
    49,327/107,881 = 107,881/x
  3. Step 3: Cross multiply
    49,327x = 107,881 × 107,881
  4. Step 4: Simplify right side
    49,327x = 11,638,310,161
  5. Step 5: Solve for x
    x = 11,638,310,161/49,327
  6. Step 6: Final answer
    x = 235,941.98

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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.