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Finding the Third Proportional to 47,412 and 109,761.75

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Solution

The third proportional to 47,412 and 109,761.75 is: 254,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,412 : 109,761.75 = 109,761.75 : x
  2. Step 2: Convert to fraction form
    47,412/109,761.75 = 109,761.75/x
  3. Step 3: Cross multiply
    47,412x = 109,761.75 × 109,761.75
  4. Step 4: Simplify right side
    47,412x = 12,047,641,763.06
  5. Step 5: Solve for x
    x = 12,047,641,763.06/47,412
  6. Step 6: Final answer
    x = 254,105.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.