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Finding the Third Proportional to 49,924 and 108,595

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Solution

The third proportional to 49,924 and 108,595 is: 236,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,924 : 108,595 = 108,595 : x
  2. Step 2: Convert to fraction form
    49,924/108,595 = 108,595/x
  3. Step 3: Cross multiply
    49,924x = 108,595 × 108,595
  4. Step 4: Simplify right side
    49,924x = 11,792,874,025
  5. Step 5: Solve for x
    x = 11,792,874,025/49,924
  6. Step 6: Final answer
    x = 236,216.53

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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.