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Finding the Third Proportional to 96,185.56 and 143,740.19

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Solution

The third proportional to 96,185.56 and 143,740.19 is: 214,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,185.56 : 143,740.19 = 143,740.19 : x
  2. Step 2: Convert to fraction form
    96,185.56/143,740.19 = 143,740.19/x
  3. Step 3: Cross multiply
    96,185.56x = 143,740.19 × 143,740.19
  4. Step 4: Simplify right side
    96,185.56x = 20,661,241,502.54
  5. Step 5: Solve for x
    x = 20,661,241,502.54/96,185.56
  6. Step 6: Final answer
    x = 214,806.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.