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Finding the Third Proportional to 54,178 and 71,907

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Solution

The third proportional to 54,178 and 71,907 is: 95,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,178 : 71,907 = 71,907 : x
  2. Step 2: Convert to fraction form
    54,178/71,907 = 71,907/x
  3. Step 3: Cross multiply
    54,178x = 71,907 × 71,907
  4. Step 4: Simplify right side
    54,178x = 5,170,616,649
  5. Step 5: Solve for x
    x = 5,170,616,649/54,178
  6. Step 6: Final answer
    x = 95,437.57

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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.