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Finding the Third Proportional to 101,993.25 and 143,374.50

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Solution

The third proportional to 101,993.25 and 143,374.50 is: 201,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,993.25 : 143,374.50 = 143,374.50 : x
  2. Step 2: Convert to fraction form
    101,993.25/143,374.50 = 143,374.50/x
  3. Step 3: Cross multiply
    101,993.25x = 143,374.50 × 143,374.50
  4. Step 4: Simplify right side
    101,993.25x = 20,556,247,250.25
  5. Step 5: Solve for x
    x = 20,556,247,250.25/101,993.25
  6. Step 6: Final answer
    x = 201,545.17

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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.