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Finding the Third Proportional to 73,649 and 156,055

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Solution

The third proportional to 73,649 and 156,055 is: 330,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,649 : 156,055 = 156,055 : x
  2. Step 2: Convert to fraction form
    73,649/156,055 = 156,055/x
  3. Step 3: Cross multiply
    73,649x = 156,055 × 156,055
  4. Step 4: Simplify right side
    73,649x = 24,353,163,025
  5. Step 5: Solve for x
    x = 24,353,163,025/73,649
  6. Step 6: Final answer
    x = 330,665.22

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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.