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Finding the Third Proportional to 47,912 and 103,312

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Solution

The third proportional to 47,912 and 103,312 is: 222,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,912 : 103,312 = 103,312 : x
  2. Step 2: Convert to fraction form
    47,912/103,312 = 103,312/x
  3. Step 3: Cross multiply
    47,912x = 103,312 × 103,312
  4. Step 4: Simplify right side
    47,912x = 10,673,369,344
  5. Step 5: Solve for x
    x = 10,673,369,344/47,912
  6. Step 6: Final answer
    x = 222,770.27

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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.