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Finding the Third Proportional to 47,556 and 101,220

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Solution

The third proportional to 47,556 and 101,220 is: 215,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,556 : 101,220 = 101,220 : x
  2. Step 2: Convert to fraction form
    47,556/101,220 = 101,220/x
  3. Step 3: Cross multiply
    47,556x = 101,220 × 101,220
  4. Step 4: Simplify right side
    47,556x = 10,245,488,400
  5. Step 5: Solve for x
    x = 10,245,488,400/47,556
  6. Step 6: Final answer
    x = 215,440.50

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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.