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Finding the Third Proportional to 106,154 and 165,690

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Solution

The third proportional to 106,154 and 165,690 is: 258,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,154 : 165,690 = 165,690 : x
  2. Step 2: Convert to fraction form
    106,154/165,690 = 165,690/x
  3. Step 3: Cross multiply
    106,154x = 165,690 × 165,690
  4. Step 4: Simplify right side
    106,154x = 27,453,176,100
  5. Step 5: Solve for x
    x = 27,453,176,100/106,154
  6. Step 6: Final answer
    x = 258,616.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.