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Finding the Third Proportional to 47,907 and 100,773

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Solution

The third proportional to 47,907 and 100,773 is: 211,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,907 : 100,773 = 100,773 : x
  2. Step 2: Convert to fraction form
    47,907/100,773 = 100,773/x
  3. Step 3: Cross multiply
    47,907x = 100,773 × 100,773
  4. Step 4: Simplify right side
    47,907x = 10,155,197,529
  5. Step 5: Solve for x
    x = 10,155,197,529/47,907
  6. Step 6: Final answer
    x = 211,977.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.