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Finding the Third Proportional to 67,555.64 and 146,649.23

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Solution

The third proportional to 67,555.64 and 146,649.23 is: 318,344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,555.64 : 146,649.23 = 146,649.23 : x
  2. Step 2: Convert to fraction form
    67,555.64/146,649.23 = 146,649.23/x
  3. Step 3: Cross multiply
    67,555.64x = 146,649.23 × 146,649.23
  4. Step 4: Simplify right side
    67,555.64x = 21,505,997,942.77
  5. Step 5: Solve for x
    x = 21,505,997,942.77/67,555.64
  6. Step 6: Final answer
    x = 318,344.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.