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Finding the Third Proportional to 60,880 and 134,899

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Solution

The third proportional to 60,880 and 134,899 is: 298,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,880 : 134,899 = 134,899 : x
  2. Step 2: Convert to fraction form
    60,880/134,899 = 134,899/x
  3. Step 3: Cross multiply
    60,880x = 134,899 × 134,899
  4. Step 4: Simplify right side
    60,880x = 18,197,740,201
  5. Step 5: Solve for x
    x = 18,197,740,201/60,880
  6. Step 6: Final answer
    x = 298,911.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.