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Finding the Third Proportional to 84,682 and 186,076

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Solution

The third proportional to 84,682 and 186,076 is: 408,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,682 : 186,076 = 186,076 : x
  2. Step 2: Convert to fraction form
    84,682/186,076 = 186,076/x
  3. Step 3: Cross multiply
    84,682x = 186,076 × 186,076
  4. Step 4: Simplify right side
    84,682x = 34,624,277,776
  5. Step 5: Solve for x
    x = 34,624,277,776/84,682
  6. Step 6: Final answer
    x = 408,874.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.