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Finding the Third Proportional to 47,224 and 103,034

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Solution

The third proportional to 47,224 and 103,034 is: 224,801.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,224 : 103,034 = 103,034 : x
  2. Step 2: Convert to fraction form
    47,224/103,034 = 103,034/x
  3. Step 3: Cross multiply
    47,224x = 103,034 × 103,034
  4. Step 4: Simplify right side
    47,224x = 10,616,005,156
  5. Step 5: Solve for x
    x = 10,616,005,156/47,224
  6. Step 6: Final answer
    x = 224,801.06

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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.