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Finding the Third Proportional to 29,327 and 69,161

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Solution

The third proportional to 29,327 and 69,161 is: 163,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,327 : 69,161 = 69,161 : x
  2. Step 2: Convert to fraction form
    29,327/69,161 = 69,161/x
  3. Step 3: Cross multiply
    29,327x = 69,161 × 69,161
  4. Step 4: Simplify right side
    29,327x = 4,783,243,921
  5. Step 5: Solve for x
    x = 4,783,243,921/29,327
  6. Step 6: Final answer
    x = 163,100.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.