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Finding the Third Proportional to 127,954 and 193,693

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Solution

The third proportional to 127,954 and 193,693 is: 293,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,954 : 193,693 = 193,693 : x
  2. Step 2: Convert to fraction form
    127,954/193,693 = 193,693/x
  3. Step 3: Cross multiply
    127,954x = 193,693 × 193,693
  4. Step 4: Simplify right side
    127,954x = 37,516,978,249
  5. Step 5: Solve for x
    x = 37,516,978,249/127,954
  6. Step 6: Final answer
    x = 293,206.76

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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.