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Finding the Third Proportional to 27,201 and 55,164

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Solution

The third proportional to 27,201 and 55,164 is: 111,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,201 : 55,164 = 55,164 : x
  2. Step 2: Convert to fraction form
    27,201/55,164 = 55,164/x
  3. Step 3: Cross multiply
    27,201x = 55,164 × 55,164
  4. Step 4: Simplify right side
    27,201x = 3,043,066,896
  5. Step 5: Solve for x
    x = 3,043,066,896/27,201
  6. Step 6: Final answer
    x = 111,873.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.