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Finding the Third Proportional to 51,007.50 and 109,395.75

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Solution

The third proportional to 51,007.50 and 109,395.75 is: 234,620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,007.50 : 109,395.75 = 109,395.75 : x
  2. Step 2: Convert to fraction form
    51,007.50/109,395.75 = 109,395.75/x
  3. Step 3: Cross multiply
    51,007.50x = 109,395.75 × 109,395.75
  4. Step 4: Simplify right side
    51,007.50x = 11,967,430,118.06
  5. Step 5: Solve for x
    x = 11,967,430,118.06/51,007.50
  6. Step 6: Final answer
    x = 234,620.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.