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Finding the Third Proportional to 69,209.44 and 98,968.78

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Solution

The third proportional to 69,209.44 and 98,968.78 is: 141,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,209.44 : 98,968.78 = 98,968.78 : x
  2. Step 2: Convert to fraction form
    69,209.44/98,968.78 = 98,968.78/x
  3. Step 3: Cross multiply
    69,209.44x = 98,968.78 × 98,968.78
  4. Step 4: Simplify right side
    69,209.44x = 9,794,819,662.11
  5. Step 5: Solve for x
    x = 9,794,819,662.11/69,209.44
  6. Step 6: Final answer
    x = 141,524.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.