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Finding the Third Proportional to 50,635 and 109,061

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Solution

The third proportional to 50,635 and 109,061 is: 234,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,635 : 109,061 = 109,061 : x
  2. Step 2: Convert to fraction form
    50,635/109,061 = 109,061/x
  3. Step 3: Cross multiply
    50,635x = 109,061 × 109,061
  4. Step 4: Simplify right side
    50,635x = 11,894,301,721
  5. Step 5: Solve for x
    x = 11,894,301,721/50,635
  6. Step 6: Final answer
    x = 234,902.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.