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Finding the Third Proportional to 70,371 and 155,142

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Solution

The third proportional to 70,371 and 155,142 is: 342,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,371 : 155,142 = 155,142 : x
  2. Step 2: Convert to fraction form
    70,371/155,142 = 155,142/x
  3. Step 3: Cross multiply
    70,371x = 155,142 × 155,142
  4. Step 4: Simplify right side
    70,371x = 24,069,040,164
  5. Step 5: Solve for x
    x = 24,069,040,164/70,371
  6. Step 6: Final answer
    x = 342,030.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.