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Finding the Third Proportional to 117,589 and 182,130

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Solution

The third proportional to 117,589 and 182,130 is: 282,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,589 : 182,130 = 182,130 : x
  2. Step 2: Convert to fraction form
    117,589/182,130 = 182,130/x
  3. Step 3: Cross multiply
    117,589x = 182,130 × 182,130
  4. Step 4: Simplify right side
    117,589x = 33,171,336,900
  5. Step 5: Solve for x
    x = 33,171,336,900/117,589
  6. Step 6: Final answer
    x = 282,095.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.