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Finding the Third Proportional to 129,247 and 193,096

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Solution

The third proportional to 129,247 and 193,096 is: 288,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,247 : 193,096 = 193,096 : x
  2. Step 2: Convert to fraction form
    129,247/193,096 = 193,096/x
  3. Step 3: Cross multiply
    129,247x = 193,096 × 193,096
  4. Step 4: Simplify right side
    129,247x = 37,286,065,216
  5. Step 5: Solve for x
    x = 37,286,065,216/129,247
  6. Step 6: Final answer
    x = 288,486.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.