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Finding the Third Proportional to 63,444 and 143,064

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Solution

The third proportional to 63,444 and 143,064 is: 322,604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,444 : 143,064 = 143,064 : x
  2. Step 2: Convert to fraction form
    63,444/143,064 = 143,064/x
  3. Step 3: Cross multiply
    63,444x = 143,064 × 143,064
  4. Step 4: Simplify right side
    63,444x = 20,467,308,096
  5. Step 5: Solve for x
    x = 20,467,308,096/63,444
  6. Step 6: Final answer
    x = 322,604.31

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.