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Finding the Third Proportional to 109,247 and 147,601

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Solution

The third proportional to 109,247 and 147,601 is: 199,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,247 : 147,601 = 147,601 : x
  2. Step 2: Convert to fraction form
    109,247/147,601 = 147,601/x
  3. Step 3: Cross multiply
    109,247x = 147,601 × 147,601
  4. Step 4: Simplify right side
    109,247x = 21,786,055,201
  5. Step 5: Solve for x
    x = 21,786,055,201/109,247
  6. Step 6: Final answer
    x = 199,420.17

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.