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Finding the Third Proportional to 47,544 and 101,835

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Solution

The third proportional to 47,544 and 101,835 is: 218,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,544 : 101,835 = 101,835 : x
  2. Step 2: Convert to fraction form
    47,544/101,835 = 101,835/x
  3. Step 3: Cross multiply
    47,544x = 101,835 × 101,835
  4. Step 4: Simplify right side
    47,544x = 10,370,367,225
  5. Step 5: Solve for x
    x = 10,370,367,225/47,544
  6. Step 6: Final answer
    x = 218,121.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.