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Finding the Third Proportional to 137,580.56 and 183,458.44

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Solution

The third proportional to 137,580.56 and 183,458.44 is: 244,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,580.56 : 183,458.44 = 183,458.44 : x
  2. Step 2: Convert to fraction form
    137,580.56/183,458.44 = 183,458.44/x
  3. Step 3: Cross multiply
    137,580.56x = 183,458.44 × 183,458.44
  4. Step 4: Simplify right side
    137,580.56x = 33,656,998,289.94
  5. Step 5: Solve for x
    x = 33,656,998,289.94/137,580.56
  6. Step 6: Final answer
    x = 244,634.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.