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Finding the Third Proportional to 47,119 and 102,711

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Solution

The third proportional to 47,119 and 102,711 is: 223,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,119 : 102,711 = 102,711 : x
  2. Step 2: Convert to fraction form
    47,119/102,711 = 102,711/x
  3. Step 3: Cross multiply
    47,119x = 102,711 × 102,711
  4. Step 4: Simplify right side
    47,119x = 10,549,549,521
  5. Step 5: Solve for x
    x = 10,549,549,521/47,119
  6. Step 6: Final answer
    x = 223,891.63

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