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Finding the Third Proportional to 101,991.75 and 143,372.25

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Solution

The third proportional to 101,991.75 and 143,372.25 is: 201,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,991.75 : 143,372.25 = 143,372.25 : x
  2. Step 2: Convert to fraction form
    101,991.75/143,372.25 = 143,372.25/x
  3. Step 3: Cross multiply
    101,991.75x = 143,372.25 × 143,372.25
  4. Step 4: Simplify right side
    101,991.75x = 20,555,602,070.06
  5. Step 5: Solve for x
    x = 20,555,602,070.06/101,991.75
  6. Step 6: Final answer
    x = 201,541.81

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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.