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Finding the Third Proportional to 36,696 and 78,132

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Solution

The third proportional to 36,696 and 78,132 is: 166,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,696 : 78,132 = 78,132 : x
  2. Step 2: Convert to fraction form
    36,696/78,132 = 78,132/x
  3. Step 3: Cross multiply
    36,696x = 78,132 × 78,132
  4. Step 4: Simplify right side
    36,696x = 6,104,609,424
  5. Step 5: Solve for x
    x = 6,104,609,424/36,696
  6. Step 6: Final answer
    x = 166,356.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.