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Finding the Third Proportional to 60,520 and 140,635

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Solution

The third proportional to 60,520 and 140,635 is: 326,804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,520 : 140,635 = 140,635 : x
  2. Step 2: Convert to fraction form
    60,520/140,635 = 140,635/x
  3. Step 3: Cross multiply
    60,520x = 140,635 × 140,635
  4. Step 4: Simplify right side
    60,520x = 19,778,203,225
  5. Step 5: Solve for x
    x = 19,778,203,225/60,520
  6. Step 6: Final answer
    x = 326,804.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.