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Finding the Third Proportional to 96,068 and 150,717

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Solution

The third proportional to 96,068 and 150,717 is: 236,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,068 : 150,717 = 150,717 : x
  2. Step 2: Convert to fraction form
    96,068/150,717 = 150,717/x
  3. Step 3: Cross multiply
    96,068x = 150,717 × 150,717
  4. Step 4: Simplify right side
    96,068x = 22,715,614,089
  5. Step 5: Solve for x
    x = 22,715,614,089/96,068
  6. Step 6: Final answer
    x = 236,453.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.