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Finding the Third Proportional to 47,295 and 100,907

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Solution

The third proportional to 47,295 and 100,907 is: 215,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,295 : 100,907 = 100,907 : x
  2. Step 2: Convert to fraction form
    47,295/100,907 = 100,907/x
  3. Step 3: Cross multiply
    47,295x = 100,907 × 100,907
  4. Step 4: Simplify right side
    47,295x = 10,182,222,649
  5. Step 5: Solve for x
    x = 10,182,222,649/47,295
  6. Step 6: Final answer
    x = 215,291.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.