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Finding the Third Proportional to 61,512.75 and 100,446.75

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Solution

The third proportional to 61,512.75 and 100,446.75 is: 164,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,512.75 : 100,446.75 = 100,446.75 : x
  2. Step 2: Convert to fraction form
    61,512.75/100,446.75 = 100,446.75/x
  3. Step 3: Cross multiply
    61,512.75x = 100,446.75 × 100,446.75
  4. Step 4: Simplify right side
    61,512.75x = 10,089,549,585.56
  5. Step 5: Solve for x
    x = 10,089,549,585.56/61,512.75
  6. Step 6: Final answer
    x = 164,023.71

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.