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Finding the Third Proportional to 60,474 and 95,350

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Solution

The third proportional to 60,474 and 95,350 is: 150,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,474 : 95,350 = 95,350 : x
  2. Step 2: Convert to fraction form
    60,474/95,350 = 95,350/x
  3. Step 3: Cross multiply
    60,474x = 95,350 × 95,350
  4. Step 4: Simplify right side
    60,474x = 9,091,622,500
  5. Step 5: Solve for x
    x = 9,091,622,500/60,474
  6. Step 6: Final answer
    x = 150,339.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.