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Finding the Third Proportional to 67,197.09 and 144,354.34

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Solution

The third proportional to 67,197.09 and 144,354.34 is: 310,105.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,197.09 : 144,354.34 = 144,354.34 : x
  2. Step 2: Convert to fraction form
    67,197.09/144,354.34 = 144,354.34/x
  3. Step 3: Cross multiply
    67,197.09x = 144,354.34 × 144,354.34
  4. Step 4: Simplify right side
    67,197.09x = 20,838,175,431.72
  5. Step 5: Solve for x
    x = 20,838,175,431.72/67,197.09
  6. Step 6: Final answer
    x = 310,105.31

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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.