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Finding the Third Proportional to 65,591.50 and 144,965

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Solution

The third proportional to 65,591.50 and 144,965 is: 320,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,591.50 : 144,965 = 144,965 : x
  2. Step 2: Convert to fraction form
    65,591.50/144,965 = 144,965/x
  3. Step 3: Cross multiply
    65,591.50x = 144,965 × 144,965
  4. Step 4: Simplify right side
    65,591.50x = 21,014,851,225
  5. Step 5: Solve for x
    x = 21,014,851,225/65,591.50
  6. Step 6: Final answer
    x = 320,389.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.