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Finding the Third Proportional to 67,832.44 and 143,304.19

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Solution

The third proportional to 67,832.44 and 143,304.19 is: 302,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,832.44 : 143,304.19 = 143,304.19 : x
  2. Step 2: Convert to fraction form
    67,832.44/143,304.19 = 143,304.19/x
  3. Step 3: Cross multiply
    67,832.44x = 143,304.19 × 143,304.19
  4. Step 4: Simplify right side
    67,832.44x = 20,536,090,155.04
  5. Step 5: Solve for x
    x = 20,536,090,155.04/67,832.44
  6. Step 6: Final answer
    x = 302,747.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.