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Finding the Third Proportional to 64,584 and 143,832

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Solution

The third proportional to 64,584 and 143,832 is: 320,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,584 : 143,832 = 143,832 : x
  2. Step 2: Convert to fraction form
    64,584/143,832 = 143,832/x
  3. Step 3: Cross multiply
    64,584x = 143,832 × 143,832
  4. Step 4: Simplify right side
    64,584x = 20,687,644,224
  5. Step 5: Solve for x
    x = 20,687,644,224/64,584
  6. Step 6: Final answer
    x = 320,321.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.