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Finding the Third Proportional to 60,080 and 84,512

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Solution

The third proportional to 60,080 and 84,512 is: 118,879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,080 : 84,512 = 84,512 : x
  2. Step 2: Convert to fraction form
    60,080/84,512 = 84,512/x
  3. Step 3: Cross multiply
    60,080x = 84,512 × 84,512
  4. Step 4: Simplify right side
    60,080x = 7,142,278,144
  5. Step 5: Solve for x
    x = 7,142,278,144/60,080
  6. Step 6: Final answer
    x = 118,879.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.