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Finding the Third Proportional to 61,515.75 and 100,448.25

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Solution

The third proportional to 61,515.75 and 100,448.25 is: 164,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,515.75 : 100,448.25 = 100,448.25 : x
  2. Step 2: Convert to fraction form
    61,515.75/100,448.25 = 100,448.25/x
  3. Step 3: Cross multiply
    61,515.75x = 100,448.25 × 100,448.25
  4. Step 4: Simplify right side
    61,515.75x = 10,089,850,928.06
  5. Step 5: Solve for x
    x = 10,089,850,928.06/61,515.75
  6. Step 6: Final answer
    x = 164,020.61

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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.