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Finding the Third Proportional to 80,383 and 118,252

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Solution

The third proportional to 80,383 and 118,252 is: 173,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,383 : 118,252 = 118,252 : x
  2. Step 2: Convert to fraction form
    80,383/118,252 = 118,252/x
  3. Step 3: Cross multiply
    80,383x = 118,252 × 118,252
  4. Step 4: Simplify right side
    80,383x = 13,983,535,504
  5. Step 5: Solve for x
    x = 13,983,535,504/80,383
  6. Step 6: Final answer
    x = 173,961.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.