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Finding the Third Proportional to 85,569 and 186,057

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Solution

The third proportional to 85,569 and 186,057 is: 404,553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,569 : 186,057 = 186,057 : x
  2. Step 2: Convert to fraction form
    85,569/186,057 = 186,057/x
  3. Step 3: Cross multiply
    85,569x = 186,057 × 186,057
  4. Step 4: Simplify right side
    85,569x = 34,617,207,249
  5. Step 5: Solve for x
    x = 34,617,207,249/85,569
  6. Step 6: Final answer
    x = 404,553.14

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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.