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Finding the Third Proportional to 45,964.50 and 72,225

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Solution

The third proportional to 45,964.50 and 72,225 is: 113,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,964.50 : 72,225 = 72,225 : x
  2. Step 2: Convert to fraction form
    45,964.50/72,225 = 72,225/x
  3. Step 3: Cross multiply
    45,964.50x = 72,225 × 72,225
  4. Step 4: Simplify right side
    45,964.50x = 5,216,450,625
  5. Step 5: Solve for x
    x = 5,216,450,625/45,964.50
  6. Step 6: Final answer
    x = 113,488.68

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.