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Finding the Third Proportional to 91,202 and 136,436

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Solution

The third proportional to 91,202 and 136,436 is: 204,104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,202 : 136,436 = 136,436 : x
  2. Step 2: Convert to fraction form
    91,202/136,436 = 136,436/x
  3. Step 3: Cross multiply
    91,202x = 136,436 × 136,436
  4. Step 4: Simplify right side
    91,202x = 18,614,782,096
  5. Step 5: Solve for x
    x = 18,614,782,096/91,202
  6. Step 6: Final answer
    x = 204,104.98

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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.