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Finding the Third Proportional to 83,241 and 183,054

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Solution

The third proportional to 83,241 and 183,054 is: 402,551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,241 : 183,054 = 183,054 : x
  2. Step 2: Convert to fraction form
    83,241/183,054 = 183,054/x
  3. Step 3: Cross multiply
    83,241x = 183,054 × 183,054
  4. Step 4: Simplify right side
    83,241x = 33,508,766,916
  5. Step 5: Solve for x
    x = 33,508,766,916/83,241
  6. Step 6: Final answer
    x = 402,551.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.