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Finding the Third Proportional to 46,467 and 102,603

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Solution

The third proportional to 46,467 and 102,603 is: 226,555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,467 : 102,603 = 102,603 : x
  2. Step 2: Convert to fraction form
    46,467/102,603 = 102,603/x
  3. Step 3: Cross multiply
    46,467x = 102,603 × 102,603
  4. Step 4: Simplify right side
    46,467x = 10,527,375,609
  5. Step 5: Solve for x
    x = 10,527,375,609/46,467
  6. Step 6: Final answer
    x = 226,555.96

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.