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Finding the Third Proportional to 66,161 and 145,444

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Solution

The third proportional to 66,161 and 145,444 is: 319,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,161 : 145,444 = 145,444 : x
  2. Step 2: Convert to fraction form
    66,161/145,444 = 145,444/x
  3. Step 3: Cross multiply
    66,161x = 145,444 × 145,444
  4. Step 4: Simplify right side
    66,161x = 21,153,957,136
  5. Step 5: Solve for x
    x = 21,153,957,136/66,161
  6. Step 6: Final answer
    x = 319,734.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.