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Finding the Third Proportional to 119,640 and 173,892

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Solution

The third proportional to 119,640 and 173,892 is: 252,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,640 : 173,892 = 173,892 : x
  2. Step 2: Convert to fraction form
    119,640/173,892 = 173,892/x
  3. Step 3: Cross multiply
    119,640x = 173,892 × 173,892
  4. Step 4: Simplify right side
    119,640x = 30,238,427,664
  5. Step 5: Solve for x
    x = 30,238,427,664/119,640
  6. Step 6: Final answer
    x = 252,745.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.