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Finding the Third Proportional to 29,086.50 and 64,065

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Solution

The third proportional to 29,086.50 and 64,065 is: 141,107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,086.50 : 64,065 = 64,065 : x
  2. Step 2: Convert to fraction form
    29,086.50/64,065 = 64,065/x
  3. Step 3: Cross multiply
    29,086.50x = 64,065 × 64,065
  4. Step 4: Simplify right side
    29,086.50x = 4,104,324,225
  5. Step 5: Solve for x
    x = 4,104,324,225/29,086.50
  6. Step 6: Final answer
    x = 141,107.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.