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Finding the Third Proportional to 45,853.50 and 97,227

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Solution

The third proportional to 45,853.50 and 97,227 is: 206,158.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,853.50 : 97,227 = 97,227 : x
  2. Step 2: Convert to fraction form
    45,853.50/97,227 = 97,227/x
  3. Step 3: Cross multiply
    45,853.50x = 97,227 × 97,227
  4. Step 4: Simplify right side
    45,853.50x = 9,453,089,529
  5. Step 5: Solve for x
    x = 9,453,089,529/45,853.50
  6. Step 6: Final answer
    x = 206,158.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.