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Finding the Third Proportional to 65,364 and 143,174

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Solution

The third proportional to 65,364 and 143,174 is: 313,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,364 : 143,174 = 143,174 : x
  2. Step 2: Convert to fraction form
    65,364/143,174 = 143,174/x
  3. Step 3: Cross multiply
    65,364x = 143,174 × 143,174
  4. Step 4: Simplify right side
    65,364x = 20,498,794,276
  5. Step 5: Solve for x
    x = 20,498,794,276/65,364
  6. Step 6: Final answer
    x = 313,609.85

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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.