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Finding the Third Proportional to 55,168 and 119,081

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Solution

The third proportional to 55,168 and 119,081 is: 257,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,168 : 119,081 = 119,081 : x
  2. Step 2: Convert to fraction form
    55,168/119,081 = 119,081/x
  3. Step 3: Cross multiply
    55,168x = 119,081 × 119,081
  4. Step 4: Simplify right side
    55,168x = 14,180,284,561
  5. Step 5: Solve for x
    x = 14,180,284,561/55,168
  6. Step 6: Final answer
    x = 257,038.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.