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Finding the Third Proportional to 43,302 and 68,954

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Solution

The third proportional to 43,302 and 68,954 is: 109,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,302 : 68,954 = 68,954 : x
  2. Step 2: Convert to fraction form
    43,302/68,954 = 68,954/x
  3. Step 3: Cross multiply
    43,302x = 68,954 × 68,954
  4. Step 4: Simplify right side
    43,302x = 4,754,654,116
  5. Step 5: Solve for x
    x = 4,754,654,116/43,302
  6. Step 6: Final answer
    x = 109,802.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.