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Finding the Third Proportional to 47,840 and 104,294

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Solution

The third proportional to 47,840 and 104,294 is: 227,367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,840 : 104,294 = 104,294 : x
  2. Step 2: Convert to fraction form
    47,840/104,294 = 104,294/x
  3. Step 3: Cross multiply
    47,840x = 104,294 × 104,294
  4. Step 4: Simplify right side
    47,840x = 10,877,238,436
  5. Step 5: Solve for x
    x = 10,877,238,436/47,840
  6. Step 6: Final answer
    x = 227,367.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.