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Finding the Third Proportional to 75,434 and 160,900

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Solution

The third proportional to 75,434 and 160,900 is: 343,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,434 : 160,900 = 160,900 : x
  2. Step 2: Convert to fraction form
    75,434/160,900 = 160,900/x
  3. Step 3: Cross multiply
    75,434x = 160,900 × 160,900
  4. Step 4: Simplify right side
    75,434x = 25,888,810,000
  5. Step 5: Solve for x
    x = 25,888,810,000/75,434
  6. Step 6: Final answer
    x = 343,198.16

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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.