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Finding the Third Proportional to 109,467 and 139,873

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Solution

The third proportional to 109,467 and 139,873 is: 178,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,467 : 139,873 = 139,873 : x
  2. Step 2: Convert to fraction form
    109,467/139,873 = 139,873/x
  3. Step 3: Cross multiply
    109,467x = 139,873 × 139,873
  4. Step 4: Simplify right side
    109,467x = 19,564,456,129
  5. Step 5: Solve for x
    x = 19,564,456,129/109,467
  6. Step 6: Final answer
    x = 178,724.69

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.