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Finding the Third Proportional to 106,993 and 165,580

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Solution

The third proportional to 106,993 and 165,580 is: 256,247.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,993 : 165,580 = 165,580 : x
  2. Step 2: Convert to fraction form
    106,993/165,580 = 165,580/x
  3. Step 3: Cross multiply
    106,993x = 165,580 × 165,580
  4. Step 4: Simplify right side
    106,993x = 27,416,736,400
  5. Step 5: Solve for x
    x = 27,416,736,400/106,993
  6. Step 6: Final answer
    x = 256,247.95

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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.