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Finding the Third Proportional to 45,072.50 and 96,177

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Solution

The third proportional to 45,072.50 and 96,177 is: 205,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,072.50 : 96,177 = 96,177 : x
  2. Step 2: Convert to fraction form
    45,072.50/96,177 = 96,177/x
  3. Step 3: Cross multiply
    45,072.50x = 96,177 × 96,177
  4. Step 4: Simplify right side
    45,072.50x = 9,250,015,329
  5. Step 5: Solve for x
    x = 9,250,015,329/45,072.50
  6. Step 6: Final answer
    x = 205,225.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.