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Finding the Third Proportional to 85,906.13 and 177,705

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Solution

The third proportional to 85,906.13 and 177,705 is: 367,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,906.13 : 177,705 = 177,705 : x
  2. Step 2: Convert to fraction form
    85,906.13/177,705 = 177,705/x
  3. Step 3: Cross multiply
    85,906.13x = 177,705 × 177,705
  4. Step 4: Simplify right side
    85,906.13x = 31,579,067,025
  5. Step 5: Solve for x
    x = 31,579,067,025/85,906.13
  6. Step 6: Final answer
    x = 367,599.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.