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Finding the Third Proportional to 85,022 and 186,205

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Solution

The third proportional to 85,022 and 186,205 is: 407,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,022 : 186,205 = 186,205 : x
  2. Step 2: Convert to fraction form
    85,022/186,205 = 186,205/x
  3. Step 3: Cross multiply
    85,022x = 186,205 × 186,205
  4. Step 4: Simplify right side
    85,022x = 34,672,302,025
  5. Step 5: Solve for x
    x = 34,672,302,025/85,022
  6. Step 6: Final answer
    x = 407,803.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.