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Finding the Third Proportional to 83,080.69 and 125,382.94

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Solution

The third proportional to 83,080.69 and 125,382.94 is: 189,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,080.69 : 125,382.94 = 125,382.94 : x
  2. Step 2: Convert to fraction form
    83,080.69/125,382.94 = 125,382.94/x
  3. Step 3: Cross multiply
    83,080.69x = 125,382.94 × 125,382.94
  4. Step 4: Simplify right side
    83,080.69x = 15,720,881,016.13
  5. Step 5: Solve for x
    x = 15,720,881,016.13/83,080.69
  6. Step 6: Final answer
    x = 189,224.25

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Why These Related Problems?

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