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Finding the Third Proportional to 118,504 and 182,154

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Solution

The third proportional to 118,504 and 182,154 is: 279,991.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,504 : 182,154 = 182,154 : x
  2. Step 2: Convert to fraction form
    118,504/182,154 = 182,154/x
  3. Step 3: Cross multiply
    118,504x = 182,154 × 182,154
  4. Step 4: Simplify right side
    118,504x = 33,180,079,716
  5. Step 5: Solve for x
    x = 33,180,079,716/118,504
  6. Step 6: Final answer
    x = 279,991.22

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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.