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Finding the Third Proportional to 106,116 and 165,630

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Solution

The third proportional to 106,116 and 165,630 is: 258,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,116 : 165,630 = 165,630 : x
  2. Step 2: Convert to fraction form
    106,116/165,630 = 165,630/x
  3. Step 3: Cross multiply
    106,116x = 165,630 × 165,630
  4. Step 4: Simplify right side
    106,116x = 27,433,296,900
  5. Step 5: Solve for x
    x = 27,433,296,900/106,116
  6. Step 6: Final answer
    x = 258,521.78

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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.