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Finding the Third Proportional to 65,611 and 157,096

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Solution

The third proportional to 65,611 and 157,096 is: 376,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,611 : 157,096 = 157,096 : x
  2. Step 2: Convert to fraction form
    65,611/157,096 = 157,096/x
  3. Step 3: Cross multiply
    65,611x = 157,096 × 157,096
  4. Step 4: Simplify right side
    65,611x = 24,679,153,216
  5. Step 5: Solve for x
    x = 24,679,153,216/65,611
  6. Step 6: Final answer
    x = 376,143.53

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.