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Finding the Third Proportional to 106,600 and 165,084

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Solution

The third proportional to 106,600 and 165,084 is: 255,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,600 : 165,084 = 165,084 : x
  2. Step 2: Convert to fraction form
    106,600/165,084 = 165,084/x
  3. Step 3: Cross multiply
    106,600x = 165,084 × 165,084
  4. Step 4: Simplify right side
    106,600x = 27,252,727,056
  5. Step 5: Solve for x
    x = 27,252,727,056/106,600
  6. Step 6: Final answer
    x = 255,654.10

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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.