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Finding the Third Proportional to 43,232 and 94,039

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Solution

The third proportional to 43,232 and 94,039 is: 204,555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,232 : 94,039 = 94,039 : x
  2. Step 2: Convert to fraction form
    43,232/94,039 = 94,039/x
  3. Step 3: Cross multiply
    43,232x = 94,039 × 94,039
  4. Step 4: Simplify right side
    43,232x = 8,843,333,521
  5. Step 5: Solve for x
    x = 8,843,333,521/43,232
  6. Step 6: Final answer
    x = 204,555.27

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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.