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Finding the Third Proportional to 46,961 and 110,746.75

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Solution

The third proportional to 46,961 and 110,746.75 is: 261,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,961 : 110,746.75 = 110,746.75 : x
  2. Step 2: Convert to fraction form
    46,961/110,746.75 = 110,746.75/x
  3. Step 3: Cross multiply
    46,961x = 110,746.75 × 110,746.75
  4. Step 4: Simplify right side
    46,961x = 12,264,842,635.56
  5. Step 5: Solve for x
    x = 12,264,842,635.56/46,961
  6. Step 6: Final answer
    x = 261,170.81

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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.