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Finding the Third Proportional to 59,866 and 91,621

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Solution

The third proportional to 59,866 and 91,621 is: 140,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,866 : 91,621 = 91,621 : x
  2. Step 2: Convert to fraction form
    59,866/91,621 = 91,621/x
  3. Step 3: Cross multiply
    59,866x = 91,621 × 91,621
  4. Step 4: Simplify right side
    59,866x = 8,394,407,641
  5. Step 5: Solve for x
    x = 8,394,407,641/59,866
  6. Step 6: Final answer
    x = 140,219.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.