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Finding the Third Proportional to 66,524 and 142,272

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Solution

The third proportional to 66,524 and 142,272 is: 304,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,524 : 142,272 = 142,272 : x
  2. Step 2: Convert to fraction form
    66,524/142,272 = 142,272/x
  3. Step 3: Cross multiply
    66,524x = 142,272 × 142,272
  4. Step 4: Simplify right side
    66,524x = 20,241,321,984
  5. Step 5: Solve for x
    x = 20,241,321,984/66,524
  6. Step 6: Final answer
    x = 304,270.97

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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.