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Finding the Third Proportional to 47,447 and 102,685

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Solution

The third proportional to 47,447 and 102,685 is: 222,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,447 : 102,685 = 102,685 : x
  2. Step 2: Convert to fraction form
    47,447/102,685 = 102,685/x
  3. Step 3: Cross multiply
    47,447x = 102,685 × 102,685
  4. Step 4: Simplify right side
    47,447x = 10,544,209,225
  5. Step 5: Solve for x
    x = 10,544,209,225/47,447
  6. Step 6: Final answer
    x = 222,231.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.