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Finding the Third Proportional to 106,644 and 162,696

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Solution

The third proportional to 106,644 and 162,696 is: 248,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,644 : 162,696 = 162,696 : x
  2. Step 2: Convert to fraction form
    106,644/162,696 = 162,696/x
  3. Step 3: Cross multiply
    106,644x = 162,696 × 162,696
  4. Step 4: Simplify right side
    106,644x = 26,469,988,416
  5. Step 5: Solve for x
    x = 26,469,988,416/106,644
  6. Step 6: Final answer
    x = 248,208.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.