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Finding the Third Proportional to 65,736.75 and 143,912

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Solution

The third proportional to 65,736.75 and 143,912 is: 315,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,736.75 : 143,912 = 143,912 : x
  2. Step 2: Convert to fraction form
    65,736.75/143,912 = 143,912/x
  3. Step 3: Cross multiply
    65,736.75x = 143,912 × 143,912
  4. Step 4: Simplify right side
    65,736.75x = 20,710,663,744
  5. Step 5: Solve for x
    x = 20,710,663,744/65,736.75
  6. Step 6: Final answer
    x = 315,054.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.