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Finding the Third Proportional to 137,664 and 193,863

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Solution

The third proportional to 137,664 and 193,863 is: 273,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,664 : 193,863 = 193,863 : x
  2. Step 2: Convert to fraction form
    137,664/193,863 = 193,863/x
  3. Step 3: Cross multiply
    137,664x = 193,863 × 193,863
  4. Step 4: Simplify right side
    137,664x = 37,582,862,769
  5. Step 5: Solve for x
    x = 37,582,862,769/137,664
  6. Step 6: Final answer
    x = 273,004.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.