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Finding the Third Proportional to 89,089 and 192,102

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Solution

The third proportional to 89,089 and 192,102 is: 414,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,089 : 192,102 = 192,102 : x
  2. Step 2: Convert to fraction form
    89,089/192,102 = 192,102/x
  3. Step 3: Cross multiply
    89,089x = 192,102 × 192,102
  4. Step 4: Simplify right side
    89,089x = 36,903,178,404
  5. Step 5: Solve for x
    x = 36,903,178,404/89,089
  6. Step 6: Final answer
    x = 414,228.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.