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Finding the Third Proportional to 76,156 and 113,794

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Solution

The third proportional to 76,156 and 113,794 is: 170,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,156 : 113,794 = 113,794 : x
  2. Step 2: Convert to fraction form
    76,156/113,794 = 113,794/x
  3. Step 3: Cross multiply
    76,156x = 113,794 × 113,794
  4. Step 4: Simplify right side
    76,156x = 12,949,074,436
  5. Step 5: Solve for x
    x = 12,949,074,436/76,156
  6. Step 6: Final answer
    x = 170,033.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.