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Finding the Third Proportional to 90,763.50 and 126,951

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Solution

The third proportional to 90,763.50 and 126,951 is: 177,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,763.50 : 126,951 = 126,951 : x
  2. Step 2: Convert to fraction form
    90,763.50/126,951 = 126,951/x
  3. Step 3: Cross multiply
    90,763.50x = 126,951 × 126,951
  4. Step 4: Simplify right side
    90,763.50x = 16,116,556,401
  5. Step 5: Solve for x
    x = 16,116,556,401/90,763.50
  6. Step 6: Final answer
    x = 177,566.49

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.