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Finding the Third Proportional to 95,897 and 150,436

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Solution

The third proportional to 95,897 and 150,436 is: 235,992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,897 : 150,436 = 150,436 : x
  2. Step 2: Convert to fraction form
    95,897/150,436 = 150,436/x
  3. Step 3: Cross multiply
    95,897x = 150,436 × 150,436
  4. Step 4: Simplify right side
    95,897x = 22,630,990,096
  5. Step 5: Solve for x
    x = 22,630,990,096/95,897
  6. Step 6: Final answer
    x = 235,992.68

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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.