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Finding the Third Proportional to 72,745 and 109,388

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Solution

The third proportional to 72,745 and 109,388 is: 164,488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,745 : 109,388 = 109,388 : x
  2. Step 2: Convert to fraction form
    72,745/109,388 = 109,388/x
  3. Step 3: Cross multiply
    72,745x = 109,388 × 109,388
  4. Step 4: Simplify right side
    72,745x = 11,965,734,544
  5. Step 5: Solve for x
    x = 11,965,734,544/72,745
  6. Step 6: Final answer
    x = 164,488.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.