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Finding the Third Proportional to 66,825 and 94,020.75

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Solution

The third proportional to 66,825 and 94,020.75 is: 132,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,825 : 94,020.75 = 94,020.75 : x
  2. Step 2: Convert to fraction form
    66,825/94,020.75 = 94,020.75/x
  3. Step 3: Cross multiply
    66,825x = 94,020.75 × 94,020.75
  4. Step 4: Simplify right side
    66,825x = 8,839,901,430.56
  5. Step 5: Solve for x
    x = 8,839,901,430.56/66,825
  6. Step 6: Final answer
    x = 132,284.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.