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Finding the Third Proportional to 106,156 and 165,693

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Solution

The third proportional to 106,156 and 165,693 is: 258,620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,156 : 165,693 = 165,693 : x
  2. Step 2: Convert to fraction form
    106,156/165,693 = 165,693/x
  3. Step 3: Cross multiply
    106,156x = 165,693 × 165,693
  4. Step 4: Simplify right side
    106,156x = 27,454,170,249
  5. Step 5: Solve for x
    x = 27,454,170,249/106,156
  6. Step 6: Final answer
    x = 258,620.99

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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.