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Finding the Third Proportional to 66,904.75 and 91,741.25

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Solution

The third proportional to 66,904.75 and 91,741.25 is: 125,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,904.75 : 91,741.25 = 91,741.25 : x
  2. Step 2: Convert to fraction form
    66,904.75/91,741.25 = 91,741.25/x
  3. Step 3: Cross multiply
    66,904.75x = 91,741.25 × 91,741.25
  4. Step 4: Simplify right side
    66,904.75x = 8,416,456,951.56
  5. Step 5: Solve for x
    x = 8,416,456,951.56/66,904.75
  6. Step 6: Final answer
    x = 125,797.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.