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Finding the Third Proportional to 106,482 and 125,922

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Solution

The third proportional to 106,482 and 125,922 is: 148,911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,482 : 125,922 = 125,922 : x
  2. Step 2: Convert to fraction form
    106,482/125,922 = 125,922/x
  3. Step 3: Cross multiply
    106,482x = 125,922 × 125,922
  4. Step 4: Simplify right side
    106,482x = 15,856,350,084
  5. Step 5: Solve for x
    x = 15,856,350,084/106,482
  6. Step 6: Final answer
    x = 148,911.08

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.