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Finding the Third Proportional to 84,273.75 and 126,172.13

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Solution

The third proportional to 84,273.75 and 126,172.13 is: 188,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,273.75 : 126,172.13 = 126,172.13 : x
  2. Step 2: Convert to fraction form
    84,273.75/126,172.13 = 126,172.13/x
  3. Step 3: Cross multiply
    84,273.75x = 126,172.13 × 126,172.13
  4. Step 4: Simplify right side
    84,273.75x = 15,919,405,127.02
  5. Step 5: Solve for x
    x = 15,919,405,127.02/84,273.75
  6. Step 6: Final answer
    x = 188,901.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.