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Finding the Third Proportional to 47,162 and 103,072

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Solution

The third proportional to 47,162 and 103,072 is: 225,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,162 : 103,072 = 103,072 : x
  2. Step 2: Convert to fraction form
    47,162/103,072 = 103,072/x
  3. Step 3: Cross multiply
    47,162x = 103,072 × 103,072
  4. Step 4: Simplify right side
    47,162x = 10,623,837,184
  5. Step 5: Solve for x
    x = 10,623,837,184/47,162
  6. Step 6: Final answer
    x = 225,262.65

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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.