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Finding the Third Proportional to 77,694 and 168,096

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Solution

The third proportional to 77,694 and 168,096 is: 363,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,694 : 168,096 = 168,096 : x
  2. Step 2: Convert to fraction form
    77,694/168,096 = 168,096/x
  3. Step 3: Cross multiply
    77,694x = 168,096 × 168,096
  4. Step 4: Simplify right side
    77,694x = 28,256,265,216
  5. Step 5: Solve for x
    x = 28,256,265,216/77,694
  6. Step 6: Final answer
    x = 363,686.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.