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Finding the Third Proportional to 106,566 and 165,573

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Solution

The third proportional to 106,566 and 165,573 is: 257,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,566 : 165,573 = 165,573 : x
  2. Step 2: Convert to fraction form
    106,566/165,573 = 165,573/x
  3. Step 3: Cross multiply
    106,566x = 165,573 × 165,573
  4. Step 4: Simplify right side
    106,566x = 27,414,418,329
  5. Step 5: Solve for x
    x = 27,414,418,329/106,566
  6. Step 6: Final answer
    x = 257,252.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.