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Finding the Third Proportional to 106,318 and 144,452

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Solution

The third proportional to 106,318 and 144,452 is: 196,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,318 : 144,452 = 144,452 : x
  2. Step 2: Convert to fraction form
    106,318/144,452 = 144,452/x
  3. Step 3: Cross multiply
    106,318x = 144,452 × 144,452
  4. Step 4: Simplify right side
    106,318x = 20,866,380,304
  5. Step 5: Solve for x
    x = 20,866,380,304/106,318
  6. Step 6: Final answer
    x = 196,263.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.