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Finding the Third Proportional to 80,014 and 169,892

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Solution

The third proportional to 80,014 and 169,892 is: 360,728.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,014 : 169,892 = 169,892 : x
  2. Step 2: Convert to fraction form
    80,014/169,892 = 169,892/x
  3. Step 3: Cross multiply
    80,014x = 169,892 × 169,892
  4. Step 4: Simplify right side
    80,014x = 28,863,291,664
  5. Step 5: Solve for x
    x = 28,863,291,664/80,014
  6. Step 6: Final answer
    x = 360,728.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.