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Finding the Third Proportional to 113,928.75 and 183,044.25

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Solution

The third proportional to 113,928.75 and 183,044.25 is: 294,089.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,928.75 : 183,044.25 = 183,044.25 : x
  2. Step 2: Convert to fraction form
    113,928.75/183,044.25 = 183,044.25/x
  3. Step 3: Cross multiply
    113,928.75x = 183,044.25 × 183,044.25
  4. Step 4: Simplify right side
    113,928.75x = 33,505,197,458.06
  5. Step 5: Solve for x
    x = 33,505,197,458.06/113,928.75
  6. Step 6: Final answer
    x = 294,089.05

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.