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Finding the Third Proportional to 89,102 and 192,130

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Solution

The third proportional to 89,102 and 192,130 is: 414,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,102 : 192,130 = 192,130 : x
  2. Step 2: Convert to fraction form
    89,102/192,130 = 192,130/x
  3. Step 3: Cross multiply
    89,102x = 192,130 × 192,130
  4. Step 4: Simplify right side
    89,102x = 36,913,936,900
  5. Step 5: Solve for x
    x = 36,913,936,900/89,102
  6. Step 6: Final answer
    x = 414,288.53

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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.