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Finding the Third Proportional to 64,625.44 and 142,006.69

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Solution

The third proportional to 64,625.44 and 142,006.69 is: 312,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,625.44 : 142,006.69 = 142,006.69 : x
  2. Step 2: Convert to fraction form
    64,625.44/142,006.69 = 142,006.69/x
  3. Step 3: Cross multiply
    64,625.44x = 142,006.69 × 142,006.69
  4. Step 4: Simplify right side
    64,625.44x = 20,165,899,294.72
  5. Step 5: Solve for x
    x = 20,165,899,294.72/64,625.44
  6. Step 6: Final answer
    x = 312,042.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.