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Finding the Third Proportional to 47,183 and 103,117

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Solution

The third proportional to 47,183 and 103,117 is: 225,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,183 : 103,117 = 103,117 : x
  2. Step 2: Convert to fraction form
    47,183/103,117 = 103,117/x
  3. Step 3: Cross multiply
    47,183x = 103,117 × 103,117
  4. Step 4: Simplify right side
    47,183x = 10,633,115,689
  5. Step 5: Solve for x
    x = 10,633,115,689/47,183
  6. Step 6: Final answer
    x = 225,359.04

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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.