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Finding the Third Proportional to 66,452 and 142,125

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Solution

The third proportional to 66,452 and 142,125 is: 303,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,452 : 142,125 = 142,125 : x
  2. Step 2: Convert to fraction form
    66,452/142,125 = 142,125/x
  3. Step 3: Cross multiply
    66,452x = 142,125 × 142,125
  4. Step 4: Simplify right side
    66,452x = 20,199,515,625
  5. Step 5: Solve for x
    x = 20,199,515,625/66,452
  6. Step 6: Final answer
    x = 303,971.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.