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Finding the Third Proportional to 101,984.63 and 143,363.25

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Solution

The third proportional to 101,984.63 and 143,363.25 is: 201,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,984.63 : 143,363.25 = 143,363.25 : x
  2. Step 2: Convert to fraction form
    101,984.63/143,363.25 = 143,363.25/x
  3. Step 3: Cross multiply
    101,984.63x = 143,363.25 × 143,363.25
  4. Step 4: Simplify right side
    101,984.63x = 20,553,021,450.56
  5. Step 5: Solve for x
    x = 20,553,021,450.56/101,984.63
  6. Step 6: Final answer
    x = 201,530.59

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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.