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Finding the Third Proportional to 73,013.50 and 156,935

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Solution

The third proportional to 73,013.50 and 156,935 is: 337,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,013.50 : 156,935 = 156,935 : x
  2. Step 2: Convert to fraction form
    73,013.50/156,935 = 156,935/x
  3. Step 3: Cross multiply
    73,013.50x = 156,935 × 156,935
  4. Step 4: Simplify right side
    73,013.50x = 24,628,594,225
  5. Step 5: Solve for x
    x = 24,628,594,225/73,013.50
  6. Step 6: Final answer
    x = 337,315.62

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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.