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Finding the Third Proportional to 75,942.56 and 175,813.03

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Solution

The third proportional to 75,942.56 and 175,813.03 is: 407,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,942.56 : 175,813.03 = 175,813.03 : x
  2. Step 2: Convert to fraction form
    75,942.56/175,813.03 = 175,813.03/x
  3. Step 3: Cross multiply
    75,942.56x = 175,813.03 × 175,813.03
  4. Step 4: Simplify right side
    75,942.56x = 30,910,221,957.31
  5. Step 5: Solve for x
    x = 30,910,221,957.31/75,942.56
  6. Step 6: Final answer
    x = 407,021.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.