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Finding the Third Proportional to 84,866 and 176,701

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Solution

The third proportional to 84,866 and 176,701 is: 367,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,866 : 176,701 = 176,701 : x
  2. Step 2: Convert to fraction form
    84,866/176,701 = 176,701/x
  3. Step 3: Cross multiply
    84,866x = 176,701 × 176,701
  4. Step 4: Simplify right side
    84,866x = 31,223,243,401
  5. Step 5: Solve for x
    x = 31,223,243,401/84,866
  6. Step 6: Final answer
    x = 367,912.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.