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Finding the Third Proportional to 60,764 and 81,800

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Solution

The third proportional to 60,764 and 81,800 is: 110,118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,764 : 81,800 = 81,800 : x
  2. Step 2: Convert to fraction form
    60,764/81,800 = 81,800/x
  3. Step 3: Cross multiply
    60,764x = 81,800 × 81,800
  4. Step 4: Simplify right side
    60,764x = 6,691,240,000
  5. Step 5: Solve for x
    x = 6,691,240,000/60,764
  6. Step 6: Final answer
    x = 110,118.49

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.