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Finding the Third Proportional to 54,191 and 71,905

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Solution

The third proportional to 54,191 and 71,905 is: 95,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,191 : 71,905 = 71,905 : x
  2. Step 2: Convert to fraction form
    54,191/71,905 = 71,905/x
  3. Step 3: Cross multiply
    54,191x = 71,905 × 71,905
  4. Step 4: Simplify right side
    54,191x = 5,170,329,025
  5. Step 5: Solve for x
    x = 5,170,329,025/54,191
  6. Step 6: Final answer
    x = 95,409.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.