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Finding the Third Proportional to 127,736 and 193,376

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Solution

The third proportional to 127,736 and 193,376 is: 292,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,736 : 193,376 = 193,376 : x
  2. Step 2: Convert to fraction form
    127,736/193,376 = 193,376/x
  3. Step 3: Cross multiply
    127,736x = 193,376 × 193,376
  4. Step 4: Simplify right side
    127,736x = 37,394,277,376
  5. Step 5: Solve for x
    x = 37,394,277,376/127,736
  6. Step 6: Final answer
    x = 292,746.58

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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.