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Finding the Third Proportional to 118,922.63 and 182,151

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Solution

The third proportional to 118,922.63 and 182,151 is: 278,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,922.63 : 182,151 = 182,151 : x
  2. Step 2: Convert to fraction form
    118,922.63/182,151 = 182,151/x
  3. Step 3: Cross multiply
    118,922.63x = 182,151 × 182,151
  4. Step 4: Simplify right side
    118,922.63x = 33,178,986,801
  5. Step 5: Solve for x
    x = 33,178,986,801/118,922.63
  6. Step 6: Final answer
    x = 278,996.42

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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.