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Finding the Third Proportional to 47,069 and 103,048

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Solution

The third proportional to 47,069 and 103,048 is: 225,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,069 : 103,048 = 103,048 : x
  2. Step 2: Convert to fraction form
    47,069/103,048 = 103,048/x
  3. Step 3: Cross multiply
    47,069x = 103,048 × 103,048
  4. Step 4: Simplify right side
    47,069x = 10,618,890,304
  5. Step 5: Solve for x
    x = 10,618,890,304/47,069
  6. Step 6: Final answer
    x = 225,602.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.