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Finding the Third Proportional to 48,024 and 100,920

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Solution

The third proportional to 48,024 and 100,920 is: 212,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,024 : 100,920 = 100,920 : x
  2. Step 2: Convert to fraction form
    48,024/100,920 = 100,920/x
  3. Step 3: Cross multiply
    48,024x = 100,920 × 100,920
  4. Step 4: Simplify right side
    48,024x = 10,184,846,400
  5. Step 5: Solve for x
    x = 10,184,846,400/48,024
  6. Step 6: Final answer
    x = 212,078.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.