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Finding the Third Proportional to 69,685.88 and 110,743.88

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Solution

The third proportional to 69,685.88 and 110,743.88 is: 175,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,685.88 : 110,743.88 = 110,743.88 : x
  2. Step 2: Convert to fraction form
    69,685.88/110,743.88 = 110,743.88/x
  3. Step 3: Cross multiply
    69,685.88x = 110,743.88 × 110,743.88
  4. Step 4: Simplify right side
    69,685.88x = 12,264,205,850.02
  5. Step 5: Solve for x
    x = 12,264,205,850.02/69,685.88
  6. Step 6: Final answer
    x = 175,992.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.