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Finding the Third Proportional to 75,000 and 158,427

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Solution

The third proportional to 75,000 and 158,427 is: 334,654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,000 : 158,427 = 158,427 : x
  2. Step 2: Convert to fraction form
    75,000/158,427 = 158,427/x
  3. Step 3: Cross multiply
    75,000x = 158,427 × 158,427
  4. Step 4: Simplify right side
    75,000x = 25,099,114,329
  5. Step 5: Solve for x
    x = 25,099,114,329/75,000
  6. Step 6: Final answer
    x = 334,654.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.