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Finding the Third Proportional to 77,396.34 and 158,073.19

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Solution

The third proportional to 77,396.34 and 158,073.19 is: 322,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,396.34 : 158,073.19 = 158,073.19 : x
  2. Step 2: Convert to fraction form
    77,396.34/158,073.19 = 158,073.19/x
  3. Step 3: Cross multiply
    77,396.34x = 158,073.19 × 158,073.19
  4. Step 4: Simplify right side
    77,396.34x = 24,987,132,606.41
  5. Step 5: Solve for x
    x = 24,987,132,606.41/77,396.34
  6. Step 6: Final answer
    x = 322,846.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.