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Finding the Third Proportional to 109,362 and 143,601

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Solution

The third proportional to 109,362 and 143,601 is: 188,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,362 : 143,601 = 143,601 : x
  2. Step 2: Convert to fraction form
    109,362/143,601 = 143,601/x
  3. Step 3: Cross multiply
    109,362x = 143,601 × 143,601
  4. Step 4: Simplify right side
    109,362x = 20,621,247,201
  5. Step 5: Solve for x
    x = 20,621,247,201/109,362
  6. Step 6: Final answer
    x = 188,559.53

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.