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Finding the Third Proportional to 73,270 and 156,907

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Solution

The third proportional to 73,270 and 156,907 is: 336,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,270 : 156,907 = 156,907 : x
  2. Step 2: Convert to fraction form
    73,270/156,907 = 156,907/x
  3. Step 3: Cross multiply
    73,270x = 156,907 × 156,907
  4. Step 4: Simplify right side
    73,270x = 24,619,806,649
  5. Step 5: Solve for x
    x = 24,619,806,649/73,270
  6. Step 6: Final answer
    x = 336,014.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.