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Finding the Third Proportional to 117,817 and 182,023

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Solution

The third proportional to 117,817 and 182,023 is: 281,218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,817 : 182,023 = 182,023 : x
  2. Step 2: Convert to fraction form
    117,817/182,023 = 182,023/x
  3. Step 3: Cross multiply
    117,817x = 182,023 × 182,023
  4. Step 4: Simplify right side
    117,817x = 33,132,372,529
  5. Step 5: Solve for x
    x = 33,132,372,529/117,817
  6. Step 6: Final answer
    x = 281,218.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.