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Finding the Third Proportional to 81,769.50 and 175,187.25

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Solution

The third proportional to 81,769.50 and 175,187.25 is: 375,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,769.50 : 175,187.25 = 175,187.25 : x
  2. Step 2: Convert to fraction form
    81,769.50/175,187.25 = 175,187.25/x
  3. Step 3: Cross multiply
    81,769.50x = 175,187.25 × 175,187.25
  4. Step 4: Simplify right side
    81,769.50x = 30,690,572,562.56
  5. Step 5: Solve for x
    x = 30,690,572,562.56/81,769.50
  6. Step 6: Final answer
    x = 375,330.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.