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Finding the Third Proportional to 85,922 and 186,604

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Solution

The third proportional to 85,922 and 186,604 is: 405,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,922 : 186,604 = 186,604 : x
  2. Step 2: Convert to fraction form
    85,922/186,604 = 186,604/x
  3. Step 3: Cross multiply
    85,922x = 186,604 × 186,604
  4. Step 4: Simplify right side
    85,922x = 34,821,052,816
  5. Step 5: Solve for x
    x = 34,821,052,816/85,922
  6. Step 6: Final answer
    x = 405,263.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.