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Finding the Third Proportional to 67,310.25 and 145,764.75

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Solution

The third proportional to 67,310.25 and 145,764.75 is: 315,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,310.25 : 145,764.75 = 145,764.75 : x
  2. Step 2: Convert to fraction form
    67,310.25/145,764.75 = 145,764.75/x
  3. Step 3: Cross multiply
    67,310.25x = 145,764.75 × 145,764.75
  4. Step 4: Simplify right side
    67,310.25x = 21,247,362,342.56
  5. Step 5: Solve for x
    x = 21,247,362,342.56/67,310.25
  6. Step 6: Final answer
    x = 315,663.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.