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Finding the Third Proportional to 111,003.75 and 172,995.75

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Solution

The third proportional to 111,003.75 and 172,995.75 is: 269,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,003.75 : 172,995.75 = 172,995.75 : x
  2. Step 2: Convert to fraction form
    111,003.75/172,995.75 = 172,995.75/x
  3. Step 3: Cross multiply
    111,003.75x = 172,995.75 × 172,995.75
  4. Step 4: Simplify right side
    111,003.75x = 29,927,529,518.06
  5. Step 5: Solve for x
    x = 29,927,529,518.06/111,003.75
  6. Step 6: Final answer
    x = 269,608.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.