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Finding the Third Proportional to 59,526 and 80,843

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Solution

The third proportional to 59,526 and 80,843 is: 109,793.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,526 : 80,843 = 80,843 : x
  2. Step 2: Convert to fraction form
    59,526/80,843 = 80,843/x
  3. Step 3: Cross multiply
    59,526x = 80,843 × 80,843
  4. Step 4: Simplify right side
    59,526x = 6,535,590,649
  5. Step 5: Solve for x
    x = 6,535,590,649/59,526
  6. Step 6: Final answer
    x = 109,793.88

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.