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Finding the Third Proportional to 67,517.44 and 145,502.06

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Solution

The third proportional to 67,517.44 and 145,502.06 is: 313,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,517.44 : 145,502.06 = 145,502.06 : x
  2. Step 2: Convert to fraction form
    67,517.44/145,502.06 = 145,502.06/x
  3. Step 3: Cross multiply
    67,517.44x = 145,502.06 × 145,502.06
  4. Step 4: Simplify right side
    67,517.44x = 21,170,850,191.75
  5. Step 5: Solve for x
    x = 21,170,850,191.75/67,517.44
  6. Step 6: Final answer
    x = 313,561.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.