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Finding the Third Proportional to 104,846 and 157,845

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Solution

The third proportional to 104,846 and 157,845 is: 237,634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,846 : 157,845 = 157,845 : x
  2. Step 2: Convert to fraction form
    104,846/157,845 = 157,845/x
  3. Step 3: Cross multiply
    104,846x = 157,845 × 157,845
  4. Step 4: Simplify right side
    104,846x = 24,915,044,025
  5. Step 5: Solve for x
    x = 24,915,044,025/104,846
  6. Step 6: Final answer
    x = 237,634.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.