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Finding the Third Proportional to 66,399.75 and 143,363.25

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Solution

The third proportional to 66,399.75 and 143,363.25 is: 309,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,399.75 : 143,363.25 = 143,363.25 : x
  2. Step 2: Convert to fraction form
    66,399.75/143,363.25 = 143,363.25/x
  3. Step 3: Cross multiply
    66,399.75x = 143,363.25 × 143,363.25
  4. Step 4: Simplify right side
    66,399.75x = 20,553,021,450.56
  5. Step 5: Solve for x
    x = 20,553,021,450.56/66,399.75
  6. Step 6: Final answer
    x = 309,534.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.