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Finding the Third Proportional to 157,096 and 235,131

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Solution

The third proportional to 157,096 and 235,131 is: 351,928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,096 : 235,131 = 235,131 : x
  2. Step 2: Convert to fraction form
    157,096/235,131 = 235,131/x
  3. Step 3: Cross multiply
    157,096x = 235,131 × 235,131
  4. Step 4: Simplify right side
    157,096x = 55,286,587,161
  5. Step 5: Solve for x
    x = 55,286,587,161/157,096
  6. Step 6: Final answer
    x = 351,928.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.