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Finding the Third Proportional to 83,096 and 128,911

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Solution

The third proportional to 83,096 and 128,911 is: 199,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,096 : 128,911 = 128,911 : x
  2. Step 2: Convert to fraction form
    83,096/128,911 = 128,911/x
  3. Step 3: Cross multiply
    83,096x = 128,911 × 128,911
  4. Step 4: Simplify right side
    83,096x = 16,618,045,921
  5. Step 5: Solve for x
    x = 16,618,045,921/83,096
  6. Step 6: Final answer
    x = 199,986.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.