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Finding the Third Proportional to 45,208.50 and 94,548

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Solution

The third proportional to 45,208.50 and 94,548 is: 197,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,208.50 : 94,548 = 94,548 : x
  2. Step 2: Convert to fraction form
    45,208.50/94,548 = 94,548/x
  3. Step 3: Cross multiply
    45,208.50x = 94,548 × 94,548
  4. Step 4: Simplify right side
    45,208.50x = 8,939,324,304
  5. Step 5: Solve for x
    x = 8,939,324,304/45,208.50
  6. Step 6: Final answer
    x = 197,735.48

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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.