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Finding the Third Proportional to 101,996 and 143,378

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Solution

The third proportional to 101,996 and 143,378 is: 201,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,996 : 143,378 = 143,378 : x
  2. Step 2: Convert to fraction form
    101,996/143,378 = 143,378/x
  3. Step 3: Cross multiply
    101,996x = 143,378 × 143,378
  4. Step 4: Simplify right side
    101,996x = 20,557,250,884
  5. Step 5: Solve for x
    x = 20,557,250,884/101,996
  6. Step 6: Final answer
    x = 201,549.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.