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Finding the Third Proportional to 47,960 and 102,968

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Solution

The third proportional to 47,960 and 102,968 is: 221,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,960 : 102,968 = 102,968 : x
  2. Step 2: Convert to fraction form
    47,960/102,968 = 102,968/x
  3. Step 3: Cross multiply
    47,960x = 102,968 × 102,968
  4. Step 4: Simplify right side
    47,960x = 10,602,409,024
  5. Step 5: Solve for x
    x = 10,602,409,024/47,960
  6. Step 6: Final answer
    x = 221,067.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.