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Finding the Third Proportional to 46,968 and 101,700

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Solution

The third proportional to 46,968 and 101,700 is: 220,211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,968 : 101,700 = 101,700 : x
  2. Step 2: Convert to fraction form
    46,968/101,700 = 101,700/x
  3. Step 3: Cross multiply
    46,968x = 101,700 × 101,700
  4. Step 4: Simplify right side
    46,968x = 10,342,890,000
  5. Step 5: Solve for x
    x = 10,342,890,000/46,968
  6. Step 6: Final answer
    x = 220,211.42

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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.