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Finding the Third Proportional to 50,848 and 118,781

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Solution

The third proportional to 50,848 and 118,781 is: 277,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,848 : 118,781 = 118,781 : x
  2. Step 2: Convert to fraction form
    50,848/118,781 = 118,781/x
  3. Step 3: Cross multiply
    50,848x = 118,781 × 118,781
  4. Step 4: Simplify right side
    50,848x = 14,108,925,961
  5. Step 5: Solve for x
    x = 14,108,925,961/50,848
  6. Step 6: Final answer
    x = 277,472.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.