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Finding the Third Proportional to 75,200.25 and 160,548.38

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Solution

The third proportional to 75,200.25 and 160,548.38 is: 342,761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,200.25 : 160,548.38 = 160,548.38 : x
  2. Step 2: Convert to fraction form
    75,200.25/160,548.38 = 160,548.38/x
  3. Step 3: Cross multiply
    75,200.25x = 160,548.38 × 160,548.38
  4. Step 4: Simplify right side
    75,200.25x = 25,775,780,715.14
  5. Step 5: Solve for x
    x = 25,775,780,715.14/75,200.25
  6. Step 6: Final answer
    x = 342,761.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.