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Finding the Third Proportional to 78,044.50 and 167,937.50

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Solution

The third proportional to 78,044.50 and 167,937.50 is: 361,370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,044.50 : 167,937.50 = 167,937.50 : x
  2. Step 2: Convert to fraction form
    78,044.50/167,937.50 = 167,937.50/x
  3. Step 3: Cross multiply
    78,044.50x = 167,937.50 × 167,937.50
  4. Step 4: Simplify right side
    78,044.50x = 28,203,003,906.25
  5. Step 5: Solve for x
    x = 28,203,003,906.25/78,044.50
  6. Step 6: Final answer
    x = 361,370.81

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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.