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Finding the Third Proportional to 53,969.06 and 80,960.06

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Solution

The third proportional to 53,969.06 and 80,960.06 is: 121,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,969.06 : 80,960.06 = 80,960.06 : x
  2. Step 2: Convert to fraction form
    53,969.06/80,960.06 = 80,960.06/x
  3. Step 3: Cross multiply
    53,969.06x = 80,960.06 × 80,960.06
  4. Step 4: Simplify right side
    53,969.06x = 6,554,531,720.00
  5. Step 5: Solve for x
    x = 6,554,531,720.00/53,969.06
  6. Step 6: Final answer
    x = 121,449.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.