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Finding the Third Proportional to 121,382.93 and 183,760.84

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Solution

The third proportional to 121,382.93 and 183,760.84 is: 278,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,382.93 : 183,760.84 = 183,760.84 : x
  2. Step 2: Convert to fraction form
    121,382.93/183,760.84 = 183,760.84/x
  3. Step 3: Cross multiply
    121,382.93x = 183,760.84 × 183,760.84
  4. Step 4: Simplify right side
    121,382.93x = 33,768,046,260.08
  5. Step 5: Solve for x
    x = 33,768,046,260.08/121,382.93
  6. Step 6: Final answer
    x = 278,194.36

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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.