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Finding the Third Proportional to 40,108 and 86,573

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Solution

The third proportional to 40,108 and 86,573 is: 186,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,108 : 86,573 = 86,573 : x
  2. Step 2: Convert to fraction form
    40,108/86,573 = 86,573/x
  3. Step 3: Cross multiply
    40,108x = 86,573 × 86,573
  4. Step 4: Simplify right side
    40,108x = 7,494,884,329
  5. Step 5: Solve for x
    x = 7,494,884,329/40,108
  6. Step 6: Final answer
    x = 186,867.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.