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Finding the Third Proportional to 101,969.25 and 143,340.19

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Solution

The third proportional to 101,969.25 and 143,340.19 is: 201,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,969.25 : 143,340.19 = 143,340.19 : x
  2. Step 2: Convert to fraction form
    101,969.25/143,340.19 = 143,340.19/x
  3. Step 3: Cross multiply
    101,969.25x = 143,340.19 × 143,340.19
  4. Step 4: Simplify right side
    101,969.25x = 20,546,409,352.54
  5. Step 5: Solve for x
    x = 20,546,409,352.54/101,969.25
  6. Step 6: Final answer
    x = 201,496.13

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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.