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Finding the Third Proportional to 27,622 and 60,148

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Solution

The third proportional to 27,622 and 60,148 is: 130,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,622 : 60,148 = 60,148 : x
  2. Step 2: Convert to fraction form
    27,622/60,148 = 60,148/x
  3. Step 3: Cross multiply
    27,622x = 60,148 × 60,148
  4. Step 4: Simplify right side
    27,622x = 3,617,781,904
  5. Step 5: Solve for x
    x = 3,617,781,904/27,622
  6. Step 6: Final answer
    x = 130,974.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.