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Finding the Third Proportional to 134,550 and 182,817

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Solution

The third proportional to 134,550 and 182,817 is: 248,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,550 : 182,817 = 182,817 : x
  2. Step 2: Convert to fraction form
    134,550/182,817 = 182,817/x
  3. Step 3: Cross multiply
    134,550x = 182,817 × 182,817
  4. Step 4: Simplify right side
    134,550x = 33,422,055,489
  5. Step 5: Solve for x
    x = 33,422,055,489/134,550
  6. Step 6: Final answer
    x = 248,398.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.