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Finding the Third Proportional to 84,192 and 178,764

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Solution

The third proportional to 84,192 and 178,764 is: 379,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,192 : 178,764 = 178,764 : x
  2. Step 2: Convert to fraction form
    84,192/178,764 = 178,764/x
  3. Step 3: Cross multiply
    84,192x = 178,764 × 178,764
  4. Step 4: Simplify right side
    84,192x = 31,956,567,696
  5. Step 5: Solve for x
    x = 31,956,567,696/84,192
  6. Step 6: Final answer
    x = 379,567.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.