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Finding the Third Proportional to 55,812 and 120,048

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Solution

The third proportional to 55,812 and 120,048 is: 258,215.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,812 : 120,048 = 120,048 : x
  2. Step 2: Convert to fraction form
    55,812/120,048 = 120,048/x
  3. Step 3: Cross multiply
    55,812x = 120,048 × 120,048
  4. Step 4: Simplify right side
    55,812x = 14,411,522,304
  5. Step 5: Solve for x
    x = 14,411,522,304/55,812
  6. Step 6: Final answer
    x = 258,215.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.