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Finding the Third Proportional to 46,961 and 110,743.75

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Solution

The third proportional to 46,961 and 110,743.75 is: 261,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,961 : 110,743.75 = 110,743.75 : x
  2. Step 2: Convert to fraction form
    46,961/110,743.75 = 110,743.75/x
  3. Step 3: Cross multiply
    46,961x = 110,743.75 × 110,743.75
  4. Step 4: Simplify right side
    46,961x = 12,264,178,164.06
  5. Step 5: Solve for x
    x = 12,264,178,164.06/46,961
  6. Step 6: Final answer
    x = 261,156.67

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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.