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Finding the Third Proportional to 45,504 and 94,144

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Solution

The third proportional to 45,504 and 94,144 is: 194,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,504 : 94,144 = 94,144 : x
  2. Step 2: Convert to fraction form
    45,504/94,144 = 94,144/x
  3. Step 3: Cross multiply
    45,504x = 94,144 × 94,144
  4. Step 4: Simplify right side
    45,504x = 8,863,092,736
  5. Step 5: Solve for x
    x = 8,863,092,736/45,504
  6. Step 6: Final answer
    x = 194,776.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.