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Finding the Third Proportional to 72,311 and 108,039

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Solution

The third proportional to 72,311 and 108,039 is: 161,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,311 : 108,039 = 108,039 : x
  2. Step 2: Convert to fraction form
    72,311/108,039 = 108,039/x
  3. Step 3: Cross multiply
    72,311x = 108,039 × 108,039
  4. Step 4: Simplify right side
    72,311x = 11,672,425,521
  5. Step 5: Solve for x
    x = 11,672,425,521/72,311
  6. Step 6: Final answer
    x = 161,419.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.