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Finding the Third Proportional to 66,996 and 91,865.25

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Solution

The third proportional to 66,996 and 91,865.25 is: 125,966.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,996 : 91,865.25 = 91,865.25 : x
  2. Step 2: Convert to fraction form
    66,996/91,865.25 = 91,865.25/x
  3. Step 3: Cross multiply
    66,996x = 91,865.25 × 91,865.25
  4. Step 4: Simplify right side
    66,996x = 8,439,224,157.56
  5. Step 5: Solve for x
    x = 8,439,224,157.56/66,996
  6. Step 6: Final answer
    x = 125,966.09

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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.