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Finding the Third Proportional to 103,497.75 and 166,323.38

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Solution

The third proportional to 103,497.75 and 166,323.38 is: 267,285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,497.75 : 166,323.38 = 166,323.38 : x
  2. Step 2: Convert to fraction form
    103,497.75/166,323.38 = 166,323.38/x
  3. Step 3: Cross multiply
    103,497.75x = 166,323.38 × 166,323.38
  4. Step 4: Simplify right side
    103,497.75x = 27,663,465,071.39
  5. Step 5: Solve for x
    x = 27,663,465,071.39/103,497.75
  6. Step 6: Final answer
    x = 267,285.67

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.