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Finding the Third Proportional to 79,951 and 172,003

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Solution

The third proportional to 79,951 and 172,003 is: 370,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,951 : 172,003 = 172,003 : x
  2. Step 2: Convert to fraction form
    79,951/172,003 = 172,003/x
  3. Step 3: Cross multiply
    79,951x = 172,003 × 172,003
  4. Step 4: Simplify right side
    79,951x = 29,585,032,009
  5. Step 5: Solve for x
    x = 29,585,032,009/79,951
  6. Step 6: Final answer
    x = 370,039.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.