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Finding the Third Proportional to 127,876 and 193,592

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Solution

The third proportional to 127,876 and 193,592 is: 293,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,876 : 193,592 = 193,592 : x
  2. Step 2: Convert to fraction form
    127,876/193,592 = 193,592/x
  3. Step 3: Cross multiply
    127,876x = 193,592 × 193,592
  4. Step 4: Simplify right side
    127,876x = 37,477,862,464
  5. Step 5: Solve for x
    x = 37,477,862,464/127,876
  6. Step 6: Final answer
    x = 293,079.72

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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.