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Finding the Third Proportional to 55,168 and 120,992

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Solution

The third proportional to 55,168 and 120,992 is: 265,354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,168 : 120,992 = 120,992 : x
  2. Step 2: Convert to fraction form
    55,168/120,992 = 120,992/x
  3. Step 3: Cross multiply
    55,168x = 120,992 × 120,992
  4. Step 4: Simplify right side
    55,168x = 14,639,064,064
  5. Step 5: Solve for x
    x = 14,639,064,064/55,168
  6. Step 6: Final answer
    x = 265,354.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.