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Finding the Third Proportional to 53,103.09 and 80,425.41

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Solution

The third proportional to 53,103.09 and 80,425.41 is: 121,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,103.09 : 80,425.41 = 80,425.41 : x
  2. Step 2: Convert to fraction form
    53,103.09/80,425.41 = 80,425.41/x
  3. Step 3: Cross multiply
    53,103.09x = 80,425.41 × 80,425.41
  4. Step 4: Simplify right side
    53,103.09x = 6,468,245,970.48
  5. Step 5: Solve for x
    x = 6,468,245,970.48/53,103.09
  6. Step 6: Final answer
    x = 121,805.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.