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Finding the Third Proportional to 67,625.44 and 147,006

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Solution

The third proportional to 67,625.44 and 147,006 is: 319,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,625.44 : 147,006 = 147,006 : x
  2. Step 2: Convert to fraction form
    67,625.44/147,006 = 147,006/x
  3. Step 3: Cross multiply
    67,625.44x = 147,006 × 147,006
  4. Step 4: Simplify right side
    67,625.44x = 21,610,764,036
  5. Step 5: Solve for x
    x = 21,610,764,036/67,625.44
  6. Step 6: Final answer
    x = 319,565.61

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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.