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Finding the Third Proportional to 67,321.50 and 141,933

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Solution

The third proportional to 67,321.50 and 141,933 is: 299,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,321.50 : 141,933 = 141,933 : x
  2. Step 2: Convert to fraction form
    67,321.50/141,933 = 141,933/x
  3. Step 3: Cross multiply
    67,321.50x = 141,933 × 141,933
  4. Step 4: Simplify right side
    67,321.50x = 20,144,976,489
  5. Step 5: Solve for x
    x = 20,144,976,489/67,321.50
  6. Step 6: Final answer
    x = 299,235.41

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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.