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Finding the Third Proportional to 106,944 and 166,329

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Solution

The third proportional to 106,944 and 166,329 is: 258,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,944 : 166,329 = 166,329 : x
  2. Step 2: Convert to fraction form
    106,944/166,329 = 166,329/x
  3. Step 3: Cross multiply
    106,944x = 166,329 × 166,329
  4. Step 4: Simplify right side
    106,944x = 27,665,336,241
  5. Step 5: Solve for x
    x = 27,665,336,241/106,944
  6. Step 6: Final answer
    x = 258,689.93

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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.