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Finding the Third Proportional to 65,699 and 143,995

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Solution

The third proportional to 65,699 and 143,995 is: 315,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,699 : 143,995 = 143,995 : x
  2. Step 2: Convert to fraction form
    65,699/143,995 = 143,995/x
  3. Step 3: Cross multiply
    65,699x = 143,995 × 143,995
  4. Step 4: Simplify right side
    65,699x = 20,734,560,025
  5. Step 5: Solve for x
    x = 20,734,560,025/65,699
  6. Step 6: Final answer
    x = 315,599.32

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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.