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Finding the Third Proportional to 49,322 and 107,872

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Solution

The third proportional to 49,322 and 107,872 is: 235,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,322 : 107,872 = 107,872 : x
  2. Step 2: Convert to fraction form
    49,322/107,872 = 107,872/x
  3. Step 3: Cross multiply
    49,322x = 107,872 × 107,872
  4. Step 4: Simplify right side
    49,322x = 11,636,368,384
  5. Step 5: Solve for x
    x = 11,636,368,384/49,322
  6. Step 6: Final answer
    x = 235,926.53

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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.