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Finding the Third Proportional to 49,322 and 108,031

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Solution

The third proportional to 49,322 and 108,031 is: 236,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,322 : 108,031 = 108,031 : x
  2. Step 2: Convert to fraction form
    49,322/108,031 = 108,031/x
  3. Step 3: Cross multiply
    49,322x = 108,031 × 108,031
  4. Step 4: Simplify right side
    49,322x = 11,670,696,961
  5. Step 5: Solve for x
    x = 11,670,696,961/49,322
  6. Step 6: Final answer
    x = 236,622.54

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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.