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Finding the Third Proportional to 41,172 and 87,664

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Solution

The third proportional to 41,172 and 87,664 is: 186,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,172 : 87,664 = 87,664 : x
  2. Step 2: Convert to fraction form
    41,172/87,664 = 87,664/x
  3. Step 3: Cross multiply
    41,172x = 87,664 × 87,664
  4. Step 4: Simplify right side
    41,172x = 7,684,976,896
  5. Step 5: Solve for x
    x = 7,684,976,896/41,172
  6. Step 6: Final answer
    x = 186,655.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.