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Finding the Third Proportional to 112,041 and 241,074

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Solution

The third proportional to 112,041 and 241,074 is: 518,708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,041 : 241,074 = 241,074 : x
  2. Step 2: Convert to fraction form
    112,041/241,074 = 241,074/x
  3. Step 3: Cross multiply
    112,041x = 241,074 × 241,074
  4. Step 4: Simplify right side
    112,041x = 58,116,673,476
  5. Step 5: Solve for x
    x = 58,116,673,476/112,041
  6. Step 6: Final answer
    x = 518,708.99

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