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Finding the Third Proportional to 79,567 and 172,937

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Solution

The third proportional to 79,567 and 172,937 is: 375,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,567 : 172,937 = 172,937 : x
  2. Step 2: Convert to fraction form
    79,567/172,937 = 172,937/x
  3. Step 3: Cross multiply
    79,567x = 172,937 × 172,937
  4. Step 4: Simplify right side
    79,567x = 29,907,205,969
  5. Step 5: Solve for x
    x = 29,907,205,969/79,567
  6. Step 6: Final answer
    x = 375,874.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.