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Finding the Third Proportional to 53,255 and 80,855

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Solution

The third proportional to 53,255 and 80,855 is: 122,759.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,255 : 80,855 = 80,855 : x
  2. Step 2: Convert to fraction form
    53,255/80,855 = 80,855/x
  3. Step 3: Cross multiply
    53,255x = 80,855 × 80,855
  4. Step 4: Simplify right side
    53,255x = 6,537,531,025
  5. Step 5: Solve for x
    x = 6,537,531,025/53,255
  6. Step 6: Final answer
    x = 122,759.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.