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Finding the Third Proportional to 126,278 and 196,058

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Solution

The third proportional to 126,278 and 196,058 is: 304,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,278 : 196,058 = 196,058 : x
  2. Step 2: Convert to fraction form
    126,278/196,058 = 196,058/x
  3. Step 3: Cross multiply
    126,278x = 196,058 × 196,058
  4. Step 4: Simplify right side
    126,278x = 38,438,739,364
  5. Step 5: Solve for x
    x = 38,438,739,364/126,278
  6. Step 6: Final answer
    x = 304,397.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.