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Finding the Third Proportional to 59,922 and 91,701

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Solution

The third proportional to 59,922 and 91,701 is: 140,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,922 : 91,701 = 91,701 : x
  2. Step 2: Convert to fraction form
    59,922/91,701 = 91,701/x
  3. Step 3: Cross multiply
    59,922x = 91,701 × 91,701
  4. Step 4: Simplify right side
    59,922x = 8,409,073,401
  5. Step 5: Solve for x
    x = 8,409,073,401/59,922
  6. Step 6: Final answer
    x = 140,333.66

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