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Finding the Third Proportional to 67,794 and 158,369

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Solution

The third proportional to 67,794 and 158,369 is: 369,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,794 : 158,369 = 158,369 : x
  2. Step 2: Convert to fraction form
    67,794/158,369 = 158,369/x
  3. Step 3: Cross multiply
    67,794x = 158,369 × 158,369
  4. Step 4: Simplify right side
    67,794x = 25,080,740,161
  5. Step 5: Solve for x
    x = 25,080,740,161/67,794
  6. Step 6: Final answer
    x = 369,955.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.