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Finding the Third Proportional to 139,785.75 and 200,049.75

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Solution

The third proportional to 139,785.75 and 200,049.75 is: 286,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,785.75 : 200,049.75 = 200,049.75 : x
  2. Step 2: Convert to fraction form
    139,785.75/200,049.75 = 200,049.75/x
  3. Step 3: Cross multiply
    139,785.75x = 200,049.75 × 200,049.75
  4. Step 4: Simplify right side
    139,785.75x = 40,019,902,475.06
  5. Step 5: Solve for x
    x = 40,019,902,475.06/139,785.75
  6. Step 6: Final answer
    x = 286,294.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.