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Finding the Third Proportional to 69,584.06 and 155,104.88

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Solution

The third proportional to 69,584.06 and 155,104.88 is: 345,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,584.06 : 155,104.88 = 155,104.88 : x
  2. Step 2: Convert to fraction form
    69,584.06/155,104.88 = 155,104.88/x
  3. Step 3: Cross multiply
    69,584.06x = 155,104.88 × 155,104.88
  4. Step 4: Simplify right side
    69,584.06x = 24,057,522,248.77
  5. Step 5: Solve for x
    x = 24,057,522,248.77/69,584.06
  6. Step 6: Final answer
    x = 345,733.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.