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Finding the Third Proportional to 45,222 and 59,811

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Solution

The third proportional to 45,222 and 59,811 is: 79,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,222 : 59,811 = 59,811 : x
  2. Step 2: Convert to fraction form
    45,222/59,811 = 59,811/x
  3. Step 3: Cross multiply
    45,222x = 59,811 × 59,811
  4. Step 4: Simplify right side
    45,222x = 3,577,355,721
  5. Step 5: Solve for x
    x = 3,577,355,721/45,222
  6. Step 6: Final answer
    x = 79,106.53

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.