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Finding the Third Proportional to 84,267 and 186,057

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Solution

The third proportional to 84,267 and 186,057 is: 410,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,267 : 186,057 = 186,057 : x
  2. Step 2: Convert to fraction form
    84,267/186,057 = 186,057/x
  3. Step 3: Cross multiply
    84,267x = 186,057 × 186,057
  4. Step 4: Simplify right side
    84,267x = 34,617,207,249
  5. Step 5: Solve for x
    x = 34,617,207,249/84,267
  6. Step 6: Final answer
    x = 410,803.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.