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Finding the Third Proportional to 80,908.75 and 172,023.50

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Solution

The third proportional to 80,908.75 and 172,023.50 is: 365,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,908.75 : 172,023.50 = 172,023.50 : x
  2. Step 2: Convert to fraction form
    80,908.75/172,023.50 = 172,023.50/x
  3. Step 3: Cross multiply
    80,908.75x = 172,023.50 × 172,023.50
  4. Step 4: Simplify right side
    80,908.75x = 29,592,084,552.25
  5. Step 5: Solve for x
    x = 29,592,084,552.25/80,908.75
  6. Step 6: Final answer
    x = 365,746.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.