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Finding the Third Proportional to 43,195.50 and 70,534.75

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Solution

The third proportional to 43,195.50 and 70,534.75 is: 115,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,195.50 : 70,534.75 = 70,534.75 : x
  2. Step 2: Convert to fraction form
    43,195.50/70,534.75 = 70,534.75/x
  3. Step 3: Cross multiply
    43,195.50x = 70,534.75 × 70,534.75
  4. Step 4: Simplify right side
    43,195.50x = 4,975,150,957.56
  5. Step 5: Solve for x
    x = 4,975,150,957.56/43,195.50
  6. Step 6: Final answer
    x = 115,177.53

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.