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Finding the Third Proportional to 46,961.50 and 110,747.50

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Solution

The third proportional to 46,961.50 and 110,747.50 is: 261,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,961.50 : 110,747.50 = 110,747.50 : x
  2. Step 2: Convert to fraction form
    46,961.50/110,747.50 = 110,747.50/x
  3. Step 3: Cross multiply
    46,961.50x = 110,747.50 × 110,747.50
  4. Step 4: Simplify right side
    46,961.50x = 12,265,008,756.25
  5. Step 5: Solve for x
    x = 12,265,008,756.25/46,961.50
  6. Step 6: Final answer
    x = 261,171.57

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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.