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Finding the Third Proportional to 117,920 and 182,592

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Solution

The third proportional to 117,920 and 182,592 is: 282,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,920 : 182,592 = 182,592 : x
  2. Step 2: Convert to fraction form
    117,920/182,592 = 182,592/x
  3. Step 3: Cross multiply
    117,920x = 182,592 × 182,592
  4. Step 4: Simplify right side
    117,920x = 33,339,838,464
  5. Step 5: Solve for x
    x = 33,339,838,464/117,920
  6. Step 6: Final answer
    x = 282,732.69

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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.