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Finding the Third Proportional to 133,770.38 and 183,432.94

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Solution

The third proportional to 133,770.38 and 183,432.94 is: 251,532.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,770.38 : 183,432.94 = 183,432.94 : x
  2. Step 2: Convert to fraction form
    133,770.38/183,432.94 = 183,432.94/x
  3. Step 3: Cross multiply
    133,770.38x = 183,432.94 × 183,432.94
  4. Step 4: Simplify right side
    133,770.38x = 33,647,642,559.88
  5. Step 5: Solve for x
    x = 33,647,642,559.88/133,770.38
  6. Step 6: Final answer
    x = 251,532.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.