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Finding the Third Proportional to 47,787 and 103,752

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Solution

The third proportional to 47,787 and 103,752 is: 225,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,787 : 103,752 = 103,752 : x
  2. Step 2: Convert to fraction form
    47,787/103,752 = 103,752/x
  3. Step 3: Cross multiply
    47,787x = 103,752 × 103,752
  4. Step 4: Simplify right side
    47,787x = 10,764,477,504
  5. Step 5: Solve for x
    x = 10,764,477,504/47,787
  6. Step 6: Final answer
    x = 225,259.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.