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Finding the Third Proportional to 56,809 and 123,593.50

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Solution

The third proportional to 56,809 and 123,593.50 is: 268,889.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,809 : 123,593.50 = 123,593.50 : x
  2. Step 2: Convert to fraction form
    56,809/123,593.50 = 123,593.50/x
  3. Step 3: Cross multiply
    56,809x = 123,593.50 × 123,593.50
  4. Step 4: Simplify right side
    56,809x = 15,275,353,242.25
  5. Step 5: Solve for x
    x = 15,275,353,242.25/56,809
  6. Step 6: Final answer
    x = 268,889.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.