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Finding the Third Proportional to 46,832 and 110,549

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Solution

The third proportional to 46,832 and 110,549 is: 260,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,832 : 110,549 = 110,549 : x
  2. Step 2: Convert to fraction form
    46,832/110,549 = 110,549/x
  3. Step 3: Cross multiply
    46,832x = 110,549 × 110,549
  4. Step 4: Simplify right side
    46,832x = 12,221,081,401
  5. Step 5: Solve for x
    x = 12,221,081,401/46,832
  6. Step 6: Final answer
    x = 260,955.79

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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.