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Finding the Third Proportional to 75,208.50 and 160,249.50

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Solution

The third proportional to 75,208.50 and 160,249.50 is: 341,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,208.50 : 160,249.50 = 160,249.50 : x
  2. Step 2: Convert to fraction form
    75,208.50/160,249.50 = 160,249.50/x
  3. Step 3: Cross multiply
    75,208.50x = 160,249.50 × 160,249.50
  4. Step 4: Simplify right side
    75,208.50x = 25,679,902,250.25
  5. Step 5: Solve for x
    x = 25,679,902,250.25/75,208.50
  6. Step 6: Final answer
    x = 341,449.47

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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.