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Finding the Third Proportional to 89,247 and 143,491.50

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Solution

The third proportional to 89,247 and 143,491.50 is: 230,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,247 : 143,491.50 = 143,491.50 : x
  2. Step 2: Convert to fraction form
    89,247/143,491.50 = 143,491.50/x
  3. Step 3: Cross multiply
    89,247x = 143,491.50 × 143,491.50
  4. Step 4: Simplify right side
    89,247x = 20,589,810,572.25
  5. Step 5: Solve for x
    x = 20,589,810,572.25/89,247
  6. Step 6: Final answer
    x = 230,705.91

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.