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Finding the Third Proportional to 72,781.50 and 154,311

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Solution

The third proportional to 72,781.50 and 154,311 is: 327,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,781.50 : 154,311 = 154,311 : x
  2. Step 2: Convert to fraction form
    72,781.50/154,311 = 154,311/x
  3. Step 3: Cross multiply
    72,781.50x = 154,311 × 154,311
  4. Step 4: Simplify right side
    72,781.50x = 23,811,884,721
  5. Step 5: Solve for x
    x = 23,811,884,721/72,781.50
  6. Step 6: Final answer
    x = 327,169.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.