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Finding the Third Proportional to 46,722 and 101,220

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Solution

The third proportional to 46,722 and 101,220 is: 219,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,722 : 101,220 = 101,220 : x
  2. Step 2: Convert to fraction form
    46,722/101,220 = 101,220/x
  3. Step 3: Cross multiply
    46,722x = 101,220 × 101,220
  4. Step 4: Simplify right side
    46,722x = 10,245,488,400
  5. Step 5: Solve for x
    x = 10,245,488,400/46,722
  6. Step 6: Final answer
    x = 219,286.17

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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.