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Finding the Third Proportional to 80,019 and 172,833

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Solution

The third proportional to 80,019 and 172,833 is: 373,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,019 : 172,833 = 172,833 : x
  2. Step 2: Convert to fraction form
    80,019/172,833 = 172,833/x
  3. Step 3: Cross multiply
    80,019x = 172,833 × 172,833
  4. Step 4: Simplify right side
    80,019x = 29,871,245,889
  5. Step 5: Solve for x
    x = 29,871,245,889/80,019
  6. Step 6: Final answer
    x = 373,301.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.