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Finding the Third Proportional to 118,968.75 and 182,223

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Solution

The third proportional to 118,968.75 and 182,223 is: 279,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,968.75 : 182,223 = 182,223 : x
  2. Step 2: Convert to fraction form
    118,968.75/182,223 = 182,223/x
  3. Step 3: Cross multiply
    118,968.75x = 182,223 × 182,223
  4. Step 4: Simplify right side
    118,968.75x = 33,205,221,729
  5. Step 5: Solve for x
    x = 33,205,221,729/118,968.75
  6. Step 6: Final answer
    x = 279,108.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.