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Finding the Third Proportional to 69,107.06 and 145,593.56

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Solution

The third proportional to 69,107.06 and 145,593.56 is: 306,734.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,107.06 : 145,593.56 = 145,593.56 : x
  2. Step 2: Convert to fraction form
    69,107.06/145,593.56 = 145,593.56/x
  3. Step 3: Cross multiply
    69,107.06x = 145,593.56 × 145,593.56
  4. Step 4: Simplify right side
    69,107.06x = 21,197,485,441.44
  5. Step 5: Solve for x
    x = 21,197,485,441.44/69,107.06
  6. Step 6: Final answer
    x = 306,734.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.