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Finding the Third Proportional to 55,034 and 120,578

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Solution

The third proportional to 55,034 and 120,578 is: 264,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,034 : 120,578 = 120,578 : x
  2. Step 2: Convert to fraction form
    55,034/120,578 = 120,578/x
  3. Step 3: Cross multiply
    55,034x = 120,578 × 120,578
  4. Step 4: Simplify right side
    55,034x = 14,539,054,084
  5. Step 5: Solve for x
    x = 14,539,054,084/55,034
  6. Step 6: Final answer
    x = 264,183.12

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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.