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Finding the Third Proportional to 106,596 and 165,078

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Solution

The third proportional to 106,596 and 165,078 is: 255,645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,596 : 165,078 = 165,078 : x
  2. Step 2: Convert to fraction form
    106,596/165,078 = 165,078/x
  3. Step 3: Cross multiply
    106,596x = 165,078 × 165,078
  4. Step 4: Simplify right side
    106,596x = 27,250,746,084
  5. Step 5: Solve for x
    x = 27,250,746,084/106,596
  6. Step 6: Final answer
    x = 255,645.11

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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.