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Finding the Third Proportional to 67,504.64 and 156,278.11

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Solution

The third proportional to 67,504.64 and 156,278.11 is: 361,795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,504.64 : 156,278.11 = 156,278.11 : x
  2. Step 2: Convert to fraction form
    67,504.64/156,278.11 = 156,278.11/x
  3. Step 3: Cross multiply
    67,504.64x = 156,278.11 × 156,278.11
  4. Step 4: Simplify right side
    67,504.64x = 24,422,847,469.82
  5. Step 5: Solve for x
    x = 24,422,847,469.82/67,504.64
  6. Step 6: Final answer
    x = 361,795.09

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.