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Finding the Third Proportional to 43,301.75 and 68,954.75

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Solution

The third proportional to 43,301.75 and 68,954.75 is: 109,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,301.75 : 68,954.75 = 68,954.75 : x
  2. Step 2: Convert to fraction form
    43,301.75/68,954.75 = 68,954.75/x
  3. Step 3: Cross multiply
    43,301.75x = 68,954.75 × 68,954.75
  4. Step 4: Simplify right side
    43,301.75x = 4,754,757,547.56
  5. Step 5: Solve for x
    x = 4,754,757,547.56/43,301.75
  6. Step 6: Final answer
    x = 109,805.21

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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.