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Finding the Third Proportional to 89,769 and 139,190

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Solution

The third proportional to 89,769 and 139,190 is: 215,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,769 : 139,190 = 139,190 : x
  2. Step 2: Convert to fraction form
    89,769/139,190 = 139,190/x
  3. Step 3: Cross multiply
    89,769x = 139,190 × 139,190
  4. Step 4: Simplify right side
    89,769x = 19,373,856,100
  5. Step 5: Solve for x
    x = 19,373,856,100/89,769
  6. Step 6: Final answer
    x = 215,819.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.