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Finding the Third Proportional to 57,226.50 and 89,074.69

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Solution

The third proportional to 57,226.50 and 89,074.69 is: 138,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,226.50 : 89,074.69 = 89,074.69 : x
  2. Step 2: Convert to fraction form
    57,226.50/89,074.69 = 89,074.69/x
  3. Step 3: Cross multiply
    57,226.50x = 89,074.69 × 89,074.69
  4. Step 4: Simplify right side
    57,226.50x = 7,934,299,953.22
  5. Step 5: Solve for x
    x = 7,934,299,953.22/57,226.50
  6. Step 6: Final answer
    x = 138,647.30

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.