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Finding the Third Proportional to 84,273 and 181,054

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Solution

The third proportional to 84,273 and 181,054 is: 388,980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,273 : 181,054 = 181,054 : x
  2. Step 2: Convert to fraction form
    84,273/181,054 = 181,054/x
  3. Step 3: Cross multiply
    84,273x = 181,054 × 181,054
  4. Step 4: Simplify right side
    84,273x = 32,780,550,916
  5. Step 5: Solve for x
    x = 32,780,550,916/84,273
  6. Step 6: Final answer
    x = 388,980.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.