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Finding the Third Proportional to 77,279.50 and 162,861.50

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Solution

The third proportional to 77,279.50 and 162,861.50 is: 343,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,279.50 : 162,861.50 = 162,861.50 : x
  2. Step 2: Convert to fraction form
    77,279.50/162,861.50 = 162,861.50/x
  3. Step 3: Cross multiply
    77,279.50x = 162,861.50 × 162,861.50
  4. Step 4: Simplify right side
    77,279.50x = 26,523,868,182.25
  5. Step 5: Solve for x
    x = 26,523,868,182.25/77,279.50
  6. Step 6: Final answer
    x = 343,219.98

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.