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Finding the Third Proportional to 86,081 and 125,697

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Solution

The third proportional to 86,081 and 125,697 is: 183,544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,081 : 125,697 = 125,697 : x
  2. Step 2: Convert to fraction form
    86,081/125,697 = 125,697/x
  3. Step 3: Cross multiply
    86,081x = 125,697 × 125,697
  4. Step 4: Simplify right side
    86,081x = 15,799,735,809
  5. Step 5: Solve for x
    x = 15,799,735,809/86,081
  6. Step 6: Final answer
    x = 183,544.98

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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.