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Finding the Third Proportional to 46,842 and 110,573

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Solution

The third proportional to 46,842 and 110,573 is: 261,013.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,842 : 110,573 = 110,573 : x
  2. Step 2: Convert to fraction form
    46,842/110,573 = 110,573/x
  3. Step 3: Cross multiply
    46,842x = 110,573 × 110,573
  4. Step 4: Simplify right side
    46,842x = 12,226,388,329
  5. Step 5: Solve for x
    x = 12,226,388,329/46,842
  6. Step 6: Final answer
    x = 261,013.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.