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Finding the Third Proportional to 106,940 and 166,323

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Solution

The third proportional to 106,940 and 166,323 is: 258,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,940 : 166,323 = 166,323 : x
  2. Step 2: Convert to fraction form
    106,940/166,323 = 166,323/x
  3. Step 3: Cross multiply
    106,940x = 166,323 × 166,323
  4. Step 4: Simplify right side
    106,940x = 27,663,340,329
  5. Step 5: Solve for x
    x = 27,663,340,329/106,940
  6. Step 6: Final answer
    x = 258,680.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.