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Finding the Third Proportional to 27,504 and 60,160

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Solution

The third proportional to 27,504 and 60,160 is: 131,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,504 : 60,160 = 60,160 : x
  2. Step 2: Convert to fraction form
    27,504/60,160 = 60,160/x
  3. Step 3: Cross multiply
    27,504x = 60,160 × 60,160
  4. Step 4: Simplify right side
    27,504x = 3,619,225,600
  5. Step 5: Solve for x
    x = 3,619,225,600/27,504
  6. Step 6: Final answer
    x = 131,589.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.