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Finding the Third Proportional to 59,724 and 91,660.50

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Solution

The third proportional to 59,724 and 91,660.50 is: 140,674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,724 : 91,660.50 = 91,660.50 : x
  2. Step 2: Convert to fraction form
    59,724/91,660.50 = 91,660.50/x
  3. Step 3: Cross multiply
    59,724x = 91,660.50 × 91,660.50
  4. Step 4: Simplify right side
    59,724x = 8,401,647,260.25
  5. Step 5: Solve for x
    x = 8,401,647,260.25/59,724
  6. Step 6: Final answer
    x = 140,674.56

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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.