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Finding the Third Proportional to 65,738 and 143,984

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Solution

The third proportional to 65,738 and 143,984 is: 315,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,738 : 143,984 = 143,984 : x
  2. Step 2: Convert to fraction form
    65,738/143,984 = 143,984/x
  3. Step 3: Cross multiply
    65,738x = 143,984 × 143,984
  4. Step 4: Simplify right side
    65,738x = 20,731,392,256
  5. Step 5: Solve for x
    x = 20,731,392,256/65,738
  6. Step 6: Final answer
    x = 315,363.90

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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.