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Finding the Third Proportional to 53,244.75 and 80,839.13

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Solution

The third proportional to 53,244.75 and 80,839.13 is: 122,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,244.75 : 80,839.13 = 80,839.13 : x
  2. Step 2: Convert to fraction form
    53,244.75/80,839.13 = 80,839.13/x
  3. Step 3: Cross multiply
    53,244.75x = 80,839.13 × 80,839.13
  4. Step 4: Simplify right side
    53,244.75x = 6,534,964,130.77
  5. Step 5: Solve for x
    x = 6,534,964,130.77/53,244.75
  6. Step 6: Final answer
    x = 122,734.43

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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.