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Finding the Third Proportional to 47,324 and 103,864

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Solution

The third proportional to 47,324 and 103,864 is: 227,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,324 : 103,864 = 103,864 : x
  2. Step 2: Convert to fraction form
    47,324/103,864 = 103,864/x
  3. Step 3: Cross multiply
    47,324x = 103,864 × 103,864
  4. Step 4: Simplify right side
    47,324x = 10,787,730,496
  5. Step 5: Solve for x
    x = 10,787,730,496/47,324
  6. Step 6: Final answer
    x = 227,954.75

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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.