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Finding the Third Proportional to 83,443.50 and 105,725.25

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Solution

The third proportional to 83,443.50 and 105,725.25 is: 133,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,443.50 : 105,725.25 = 105,725.25 : x
  2. Step 2: Convert to fraction form
    83,443.50/105,725.25 = 105,725.25/x
  3. Step 3: Cross multiply
    83,443.50x = 105,725.25 × 105,725.25
  4. Step 4: Simplify right side
    83,443.50x = 11,177,828,487.56
  5. Step 5: Solve for x
    x = 11,177,828,487.56/83,443.50
  6. Step 6: Final answer
    x = 133,956.85

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.