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Finding the Third Proportional to 40,866 and 87,273

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Solution

The third proportional to 40,866 and 87,273 is: 186,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,866 : 87,273 = 87,273 : x
  2. Step 2: Convert to fraction form
    40,866/87,273 = 87,273/x
  3. Step 3: Cross multiply
    40,866x = 87,273 × 87,273
  4. Step 4: Simplify right side
    40,866x = 7,616,576,529
  5. Step 5: Solve for x
    x = 7,616,576,529/40,866
  6. Step 6: Final answer
    x = 186,379.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.