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Finding the Third Proportional to 94,593.45 and 141,629.61

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Solution

The third proportional to 94,593.45 and 141,629.61 is: 212,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,593.45 : 141,629.61 = 141,629.61 : x
  2. Step 2: Convert to fraction form
    94,593.45/141,629.61 = 141,629.61/x
  3. Step 3: Cross multiply
    94,593.45x = 141,629.61 × 141,629.61
  4. Step 4: Simplify right side
    94,593.45x = 20,058,945,698.48
  5. Step 5: Solve for x
    x = 20,058,945,698.48/94,593.45
  6. Step 6: Final answer
    x = 212,054.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.