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Finding the Third Proportional to 112,907 and 247,955

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Solution

The third proportional to 112,907 and 247,955 is: 544,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,907 : 247,955 = 247,955 : x
  2. Step 2: Convert to fraction form
    112,907/247,955 = 247,955/x
  3. Step 3: Cross multiply
    112,907x = 247,955 × 247,955
  4. Step 4: Simplify right side
    112,907x = 61,481,682,025
  5. Step 5: Solve for x
    x = 61,481,682,025/112,907
  6. Step 6: Final answer
    x = 544,533.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.