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Finding the Third Proportional to 127,093 and 250,997

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Solution

The third proportional to 127,093 and 250,997 is: 495,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,093 : 250,997 = 250,997 : x
  2. Step 2: Convert to fraction form
    127,093/250,997 = 250,997/x
  3. Step 3: Cross multiply
    127,093x = 250,997 × 250,997
  4. Step 4: Simplify right side
    127,093x = 62,999,494,009
  5. Step 5: Solve for x
    x = 62,999,494,009/127,093
  6. Step 6: Final answer
    x = 495,696.02

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.