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Finding the Third Proportional to 60,518 and 140,628

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Solution

The third proportional to 60,518 and 140,628 is: 326,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,518 : 140,628 = 140,628 : x
  2. Step 2: Convert to fraction form
    60,518/140,628 = 140,628/x
  3. Step 3: Cross multiply
    60,518x = 140,628 × 140,628
  4. Step 4: Simplify right side
    60,518x = 19,776,234,384
  5. Step 5: Solve for x
    x = 19,776,234,384/60,518
  6. Step 6: Final answer
    x = 326,782.68

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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.