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Finding the Third Proportional to 89,137 and 131,041.50

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Solution

The third proportional to 89,137 and 131,041.50 is: 192,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,137 : 131,041.50 = 131,041.50 : x
  2. Step 2: Convert to fraction form
    89,137/131,041.50 = 131,041.50/x
  3. Step 3: Cross multiply
    89,137x = 131,041.50 × 131,041.50
  4. Step 4: Simplify right side
    89,137x = 17,171,874,722.25
  5. Step 5: Solve for x
    x = 17,171,874,722.25/89,137
  6. Step 6: Final answer
    x = 192,645.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.