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Finding the Third Proportional to 121,542.19 and 183,989.81

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Solution

The third proportional to 121,542.19 and 183,989.81 is: 278,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,542.19 : 183,989.81 = 183,989.81 : x
  2. Step 2: Convert to fraction form
    121,542.19/183,989.81 = 183,989.81/x
  3. Step 3: Cross multiply
    121,542.19x = 183,989.81 × 183,989.81
  4. Step 4: Simplify right side
    121,542.19x = 33,852,251,103.79
  5. Step 5: Solve for x
    x = 33,852,251,103.79/121,542.19
  6. Step 6: Final answer
    x = 278,522.64

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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.