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Finding the Third Proportional to 80,101 and 170,555

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Solution

The third proportional to 80,101 and 170,555 is: 363,154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,101 : 170,555 = 170,555 : x
  2. Step 2: Convert to fraction form
    80,101/170,555 = 170,555/x
  3. Step 3: Cross multiply
    80,101x = 170,555 × 170,555
  4. Step 4: Simplify right side
    80,101x = 29,089,008,025
  5. Step 5: Solve for x
    x = 29,089,008,025/80,101
  6. Step 6: Final answer
    x = 363,154.12

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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.