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Finding the Third Proportional to 112,884 and 241,104

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Solution

The third proportional to 112,884 and 241,104 is: 514,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,884 : 241,104 = 241,104 : x
  2. Step 2: Convert to fraction form
    112,884/241,104 = 241,104/x
  3. Step 3: Cross multiply
    112,884x = 241,104 × 241,104
  4. Step 4: Simplify right side
    112,884x = 58,131,138,816
  5. Step 5: Solve for x
    x = 58,131,138,816/112,884
  6. Step 6: Final answer
    x = 514,963.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.