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Finding the Third Proportional to 127,896 and 193,608

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Solution

The third proportional to 127,896 and 193,608 is: 293,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,896 : 193,608 = 193,608 : x
  2. Step 2: Convert to fraction form
    127,896/193,608 = 193,608/x
  3. Step 3: Cross multiply
    127,896x = 193,608 × 193,608
  4. Step 4: Simplify right side
    127,896x = 37,484,057,664
  5. Step 5: Solve for x
    x = 37,484,057,664/127,896
  6. Step 6: Final answer
    x = 293,082.33

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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.