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Finding the Third Proportional to 43,415 and 94,686

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Solution

The third proportional to 43,415 and 94,686 is: 206,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,415 : 94,686 = 94,686 : x
  2. Step 2: Convert to fraction form
    43,415/94,686 = 94,686/x
  3. Step 3: Cross multiply
    43,415x = 94,686 × 94,686
  4. Step 4: Simplify right side
    43,415x = 8,965,438,596
  5. Step 5: Solve for x
    x = 8,965,438,596/43,415
  6. Step 6: Final answer
    x = 206,505.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.