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Finding the Third Proportional to 106,478 and 165,558

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Solution

The third proportional to 106,478 and 165,558 is: 257,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,478 : 165,558 = 165,558 : x
  2. Step 2: Convert to fraction form
    106,478/165,558 = 165,558/x
  3. Step 3: Cross multiply
    106,478x = 165,558 × 165,558
  4. Step 4: Simplify right side
    106,478x = 27,409,451,364
  5. Step 5: Solve for x
    x = 27,409,451,364/106,478
  6. Step 6: Final answer
    x = 257,418.92

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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.