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Finding the Third Proportional to 72,767.81 and 156,601.13

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Solution

The third proportional to 72,767.81 and 156,601.13 is: 337,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,767.81 : 156,601.13 = 156,601.13 : x
  2. Step 2: Convert to fraction form
    72,767.81/156,601.13 = 156,601.13/x
  3. Step 3: Cross multiply
    72,767.81x = 156,601.13 × 156,601.13
  4. Step 4: Simplify right side
    72,767.81x = 24,523,912,351.27
  5. Step 5: Solve for x
    x = 24,523,912,351.27/72,767.81
  6. Step 6: Final answer
    x = 337,015.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.