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Finding the Third Proportional to 54,928 and 120,008

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Solution

The third proportional to 54,928 and 120,008 is: 262,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,928 : 120,008 = 120,008 : x
  2. Step 2: Convert to fraction form
    54,928/120,008 = 120,008/x
  3. Step 3: Cross multiply
    54,928x = 120,008 × 120,008
  4. Step 4: Simplify right side
    54,928x = 14,401,920,064
  5. Step 5: Solve for x
    x = 14,401,920,064/54,928
  6. Step 6: Final answer
    x = 262,196.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.