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Finding the Third Proportional to 34,842 and 75,272

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Solution

The third proportional to 34,842 and 75,272 is: 162,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,842 : 75,272 = 75,272 : x
  2. Step 2: Convert to fraction form
    34,842/75,272 = 75,272/x
  3. Step 3: Cross multiply
    34,842x = 75,272 × 75,272
  4. Step 4: Simplify right side
    34,842x = 5,665,873,984
  5. Step 5: Solve for x
    x = 5,665,873,984/34,842
  6. Step 6: Final answer
    x = 162,616.21

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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.