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Finding the Third Proportional to 46,884 and 110,674

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Solution

The third proportional to 46,884 and 110,674 is: 261,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,884 : 110,674 = 110,674 : x
  2. Step 2: Convert to fraction form
    46,884/110,674 = 110,674/x
  3. Step 3: Cross multiply
    46,884x = 110,674 × 110,674
  4. Step 4: Simplify right side
    46,884x = 12,248,734,276
  5. Step 5: Solve for x
    x = 12,248,734,276/46,884
  6. Step 6: Final answer
    x = 261,256.17

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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.