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Finding the Third Proportional to 123,934.50 and 196,974

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Solution

The third proportional to 123,934.50 and 196,974 is: 313,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,934.50 : 196,974 = 196,974 : x
  2. Step 2: Convert to fraction form
    123,934.50/196,974 = 196,974/x
  3. Step 3: Cross multiply
    123,934.50x = 196,974 × 196,974
  4. Step 4: Simplify right side
    123,934.50x = 38,798,756,676
  5. Step 5: Solve for x
    x = 38,798,756,676/123,934.50
  6. Step 6: Final answer
    x = 313,058.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.