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Finding the Third Proportional to 66,538 and 143,444

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Solution

The third proportional to 66,538 and 143,444 is: 309,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,538 : 143,444 = 143,444 : x
  2. Step 2: Convert to fraction form
    66,538/143,444 = 143,444/x
  3. Step 3: Cross multiply
    66,538x = 143,444 × 143,444
  4. Step 4: Simplify right side
    66,538x = 20,576,181,136
  5. Step 5: Solve for x
    x = 20,576,181,136/66,538
  6. Step 6: Final answer
    x = 309,239.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.