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Finding the Third Proportional to 89,349 and 119,200

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Solution

The third proportional to 89,349 and 119,200 is: 159,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,349 : 119,200 = 119,200 : x
  2. Step 2: Convert to fraction form
    89,349/119,200 = 119,200/x
  3. Step 3: Cross multiply
    89,349x = 119,200 × 119,200
  4. Step 4: Simplify right side
    89,349x = 14,208,640,000
  5. Step 5: Solve for x
    x = 14,208,640,000/89,349
  6. Step 6: Final answer
    x = 159,024.05

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.