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Finding the Third Proportional to 75,593.25 and 158,476.50

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Solution

The third proportional to 75,593.25 and 158,476.50 is: 332,236.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,593.25 : 158,476.50 = 158,476.50 : x
  2. Step 2: Convert to fraction form
    75,593.25/158,476.50 = 158,476.50/x
  3. Step 3: Cross multiply
    75,593.25x = 158,476.50 × 158,476.50
  4. Step 4: Simplify right side
    75,593.25x = 25,114,801,052.25
  5. Step 5: Solve for x
    x = 25,114,801,052.25/75,593.25
  6. Step 6: Final answer
    x = 332,236.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.