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Finding the Third Proportional to 83,955.75 and 116,363.25

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Solution

The third proportional to 83,955.75 and 116,363.25 is: 161,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,955.75 : 116,363.25 = 116,363.25 : x
  2. Step 2: Convert to fraction form
    83,955.75/116,363.25 = 116,363.25/x
  3. Step 3: Cross multiply
    83,955.75x = 116,363.25 × 116,363.25
  4. Step 4: Simplify right side
    83,955.75x = 13,540,405,950.56
  5. Step 5: Solve for x
    x = 13,540,405,950.56/83,955.75
  6. Step 6: Final answer
    x = 161,280.27

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.