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Finding the Third Proportional to 101,991 and 143,371.13

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Solution

The third proportional to 101,991 and 143,371.13 is: 201,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,991 : 143,371.13 = 143,371.13 : x
  2. Step 2: Convert to fraction form
    101,991/143,371.13 = 143,371.13/x
  3. Step 3: Cross multiply
    101,991x = 143,371.13 × 143,371.13
  4. Step 4: Simplify right side
    101,991x = 20,555,279,483.77
  5. Step 5: Solve for x
    x = 20,555,279,483.77/101,991
  6. Step 6: Final answer
    x = 201,540.13

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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.