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Finding the Third Proportional to 45,208 and 94,546

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Solution

The third proportional to 45,208 and 94,546 is: 197,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,208 : 94,546 = 94,546 : x
  2. Step 2: Convert to fraction form
    45,208/94,546 = 94,546/x
  3. Step 3: Cross multiply
    45,208x = 94,546 × 94,546
  4. Step 4: Simplify right side
    45,208x = 8,938,946,116
  5. Step 5: Solve for x
    x = 8,938,946,116/45,208
  6. Step 6: Final answer
    x = 197,729.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.