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Finding the Third Proportional to 40,157 and 84,836

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Solution

The third proportional to 40,157 and 84,836 is: 179,225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,157 : 84,836 = 84,836 : x
  2. Step 2: Convert to fraction form
    40,157/84,836 = 84,836/x
  3. Step 3: Cross multiply
    40,157x = 84,836 × 84,836
  4. Step 4: Simplify right side
    40,157x = 7,197,146,896
  5. Step 5: Solve for x
    x = 7,197,146,896/40,157
  6. Step 6: Final answer
    x = 179,225.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.