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Finding the Third Proportional to 51,960.13 and 76,089.50

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Solution

The third proportional to 51,960.13 and 76,089.50 is: 111,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,960.13 : 76,089.50 = 76,089.50 : x
  2. Step 2: Convert to fraction form
    51,960.13/76,089.50 = 76,089.50/x
  3. Step 3: Cross multiply
    51,960.13x = 76,089.50 × 76,089.50
  4. Step 4: Simplify right side
    51,960.13x = 5,789,612,010.25
  5. Step 5: Solve for x
    x = 5,789,612,010.25/51,960.13
  6. Step 6: Final answer
    x = 111,424.14

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.