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Finding the Third Proportional to 86,084 and 125,701

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Solution

The third proportional to 86,084 and 125,701 is: 183,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,084 : 125,701 = 125,701 : x
  2. Step 2: Convert to fraction form
    86,084/125,701 = 125,701/x
  3. Step 3: Cross multiply
    86,084x = 125,701 × 125,701
  4. Step 4: Simplify right side
    86,084x = 15,800,741,401
  5. Step 5: Solve for x
    x = 15,800,741,401/86,084
  6. Step 6: Final answer
    x = 183,550.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.