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Finding the Third Proportional to 105,375.38 and 158,066.44

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Solution

The third proportional to 105,375.38 and 158,066.44 is: 237,104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,375.38 : 158,066.44 = 158,066.44 : x
  2. Step 2: Convert to fraction form
    105,375.38/158,066.44 = 158,066.44/x
  3. Step 3: Cross multiply
    105,375.38x = 158,066.44 × 158,066.44
  4. Step 4: Simplify right side
    105,375.38x = 24,984,998,663.94
  5. Step 5: Solve for x
    x = 24,984,998,663.94/105,375.38
  6. Step 6: Final answer
    x = 237,104.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.