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Finding the Third Proportional to 65,734 and 143,908

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Solution

The third proportional to 65,734 and 143,908 is: 315,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,734 : 143,908 = 143,908 : x
  2. Step 2: Convert to fraction form
    65,734/143,908 = 143,908/x
  3. Step 3: Cross multiply
    65,734x = 143,908 × 143,908
  4. Step 4: Simplify right side
    65,734x = 20,709,512,464
  5. Step 5: Solve for x
    x = 20,709,512,464/65,734
  6. Step 6: Final answer
    x = 315,050.24

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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.