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Finding the Third Proportional to 71,893 and 108,847

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Solution

The third proportional to 71,893 and 108,847 is: 164,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,893 : 108,847 = 108,847 : x
  2. Step 2: Convert to fraction form
    71,893/108,847 = 108,847/x
  3. Step 3: Cross multiply
    71,893x = 108,847 × 108,847
  4. Step 4: Simplify right side
    71,893x = 11,847,669,409
  5. Step 5: Solve for x
    x = 11,847,669,409/71,893
  6. Step 6: Final answer
    x = 164,795.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.