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Finding the Third Proportional to 124,178.06 and 196,716.09

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Solution

The third proportional to 124,178.06 and 196,716.09 is: 311,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,178.06 : 196,716.09 = 196,716.09 : x
  2. Step 2: Convert to fraction form
    124,178.06/196,716.09 = 196,716.09/x
  3. Step 3: Cross multiply
    124,178.06x = 196,716.09 × 196,716.09
  4. Step 4: Simplify right side
    124,178.06x = 38,697,221,540.26
  5. Step 5: Solve for x
    x = 38,697,221,540.26/124,178.06
  6. Step 6: Final answer
    x = 311,626.87

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.