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Finding the Third Proportional to 106,602 and 165,087

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Solution

The third proportional to 106,602 and 165,087 is: 255,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,602 : 165,087 = 165,087 : x
  2. Step 2: Convert to fraction form
    106,602/165,087 = 165,087/x
  3. Step 3: Cross multiply
    106,602x = 165,087 × 165,087
  4. Step 4: Simplify right side
    106,602x = 27,253,717,569
  5. Step 5: Solve for x
    x = 27,253,717,569/106,602
  6. Step 6: Final answer
    x = 255,658.60

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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.