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Finding the Third Proportional to 60,059 and 139,021

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Solution

The third proportional to 60,059 and 139,021 is: 321,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,059 : 139,021 = 139,021 : x
  2. Step 2: Convert to fraction form
    60,059/139,021 = 139,021/x
  3. Step 3: Cross multiply
    60,059x = 139,021 × 139,021
  4. Step 4: Simplify right side
    60,059x = 19,326,838,441
  5. Step 5: Solve for x
    x = 19,326,838,441/60,059
  6. Step 6: Final answer
    x = 321,797.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.