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Finding the Third Proportional to 120,732.75 and 191,132.44

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Solution

The third proportional to 120,732.75 and 191,132.44 is: 302,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,732.75 : 191,132.44 = 191,132.44 : x
  2. Step 2: Convert to fraction form
    120,732.75/191,132.44 = 191,132.44/x
  3. Step 3: Cross multiply
    120,732.75x = 191,132.44 × 191,132.44
  4. Step 4: Simplify right side
    120,732.75x = 36,531,608,664.69
  5. Step 5: Solve for x
    x = 36,531,608,664.69/120,732.75
  6. Step 6: Final answer
    x = 302,582.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.