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Finding the Third Proportional to 67,651.50 and 146,831

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Solution

The third proportional to 67,651.50 and 146,831 is: 318,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,651.50 : 146,831 = 146,831 : x
  2. Step 2: Convert to fraction form
    67,651.50/146,831 = 146,831/x
  3. Step 3: Cross multiply
    67,651.50x = 146,831 × 146,831
  4. Step 4: Simplify right side
    67,651.50x = 21,559,342,561
  5. Step 5: Solve for x
    x = 21,559,342,561/67,651.50
  6. Step 6: Final answer
    x = 318,682.40

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Why These Related Problems?

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