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Finding the Third Proportional to 47,556 and 100,415.25

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Solution

The third proportional to 47,556 and 100,415.25 is: 212,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,556 : 100,415.25 = 100,415.25 : x
  2. Step 2: Convert to fraction form
    47,556/100,415.25 = 100,415.25/x
  3. Step 3: Cross multiply
    47,556x = 100,415.25 × 100,415.25
  4. Step 4: Simplify right side
    47,556x = 10,083,222,432.56
  5. Step 5: Solve for x
    x = 10,083,222,432.56/47,556
  6. Step 6: Final answer
    x = 212,028.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.