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Finding the Third Proportional to 67,604 and 146,834

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Solution

The third proportional to 67,604 and 146,834 is: 318,919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,604 : 146,834 = 146,834 : x
  2. Step 2: Convert to fraction form
    67,604/146,834 = 146,834/x
  3. Step 3: Cross multiply
    67,604x = 146,834 × 146,834
  4. Step 4: Simplify right side
    67,604x = 21,560,223,556
  5. Step 5: Solve for x
    x = 21,560,223,556/67,604
  6. Step 6: Final answer
    x = 318,919.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.