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Finding the Third Proportional to 106,550 and 165,427

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Solution

The third proportional to 106,550 and 165,427 is: 256,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,550 : 165,427 = 165,427 : x
  2. Step 2: Convert to fraction form
    106,550/165,427 = 165,427/x
  3. Step 3: Cross multiply
    106,550x = 165,427 × 165,427
  4. Step 4: Simplify right side
    106,550x = 27,366,092,329
  5. Step 5: Solve for x
    x = 27,366,092,329/106,550
  6. Step 6: Final answer
    x = 256,838.03

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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.