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Finding the Third Proportional to 80,102.25 and 170,557.88

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Solution

The third proportional to 80,102.25 and 170,557.88 is: 363,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,102.25 : 170,557.88 = 170,557.88 : x
  2. Step 2: Convert to fraction form
    80,102.25/170,557.88 = 170,557.88/x
  3. Step 3: Cross multiply
    80,102.25x = 170,557.88 × 170,557.88
  4. Step 4: Simplify right side
    80,102.25x = 29,089,988,724.52
  5. Step 5: Solve for x
    x = 29,089,988,724.52/80,102.25
  6. Step 6: Final answer
    x = 363,160.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.