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Finding the Third Proportional to 47,394 and 103,716

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Solution

The third proportional to 47,394 and 103,716 is: 226,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,394 : 103,716 = 103,716 : x
  2. Step 2: Convert to fraction form
    47,394/103,716 = 103,716/x
  3. Step 3: Cross multiply
    47,394x = 103,716 × 103,716
  4. Step 4: Simplify right side
    47,394x = 10,757,008,656
  5. Step 5: Solve for x
    x = 10,757,008,656/47,394
  6. Step 6: Final answer
    x = 226,969.84

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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.