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Finding the Third Proportional to 54,210 and 102,892

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Solution

The third proportional to 54,210 and 102,892 is: 195,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,210 : 102,892 = 102,892 : x
  2. Step 2: Convert to fraction form
    54,210/102,892 = 102,892/x
  3. Step 3: Cross multiply
    54,210x = 102,892 × 102,892
  4. Step 4: Simplify right side
    54,210x = 10,586,763,664
  5. Step 5: Solve for x
    x = 10,586,763,664/54,210
  6. Step 6: Final answer
    x = 195,291.71

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.