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Finding the Third Proportional to 71,288.44 and 106,719.19

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Solution

The third proportional to 71,288.44 and 106,719.19 is: 159,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,288.44 : 106,719.19 = 106,719.19 : x
  2. Step 2: Convert to fraction form
    71,288.44/106,719.19 = 106,719.19/x
  3. Step 3: Cross multiply
    71,288.44x = 106,719.19 × 106,719.19
  4. Step 4: Simplify right side
    71,288.44x = 11,388,984,980.66
  5. Step 5: Solve for x
    x = 11,388,984,980.66/71,288.44
  6. Step 6: Final answer
    x = 159,759.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.