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Finding the Third Proportional to 127,954.69 and 193,693.78

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Solution

The third proportional to 127,954.69 and 193,693.78 is: 293,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,954.69 : 193,693.78 = 193,693.78 : x
  2. Step 2: Convert to fraction form
    127,954.69/193,693.78 = 193,693.78/x
  3. Step 3: Cross multiply
    127,954.69x = 193,693.78 × 193,693.78
  4. Step 4: Simplify right side
    127,954.69x = 37,517,280,894.92
  5. Step 5: Solve for x
    x = 37,517,280,894.92/127,954.69
  6. Step 6: Final answer
    x = 293,207.55

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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.