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Finding the Third Proportional to 71,833.50 and 156,255.75

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Solution

The third proportional to 71,833.50 and 156,255.75 is: 339,895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,833.50 : 156,255.75 = 156,255.75 : x
  2. Step 2: Convert to fraction form
    71,833.50/156,255.75 = 156,255.75/x
  3. Step 3: Cross multiply
    71,833.50x = 156,255.75 × 156,255.75
  4. Step 4: Simplify right side
    71,833.50x = 24,415,859,408.06
  5. Step 5: Solve for x
    x = 24,415,859,408.06/71,833.50
  6. Step 6: Final answer
    x = 339,895.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.