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Finding the Third Proportional to 127,904 and 193,640

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Solution

The third proportional to 127,904 and 193,640 is: 293,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,904 : 193,640 = 193,640 : x
  2. Step 2: Convert to fraction form
    127,904/193,640 = 193,640/x
  3. Step 3: Cross multiply
    127,904x = 193,640 × 193,640
  4. Step 4: Simplify right side
    127,904x = 37,496,449,600
  5. Step 5: Solve for x
    x = 37,496,449,600/127,904
  6. Step 6: Final answer
    x = 293,160.88

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