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Finding the Third Proportional to 89,303.50 and 121,616

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Solution

The third proportional to 89,303.50 and 121,616 is: 165,620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,303.50 : 121,616 = 121,616 : x
  2. Step 2: Convert to fraction form
    89,303.50/121,616 = 121,616/x
  3. Step 3: Cross multiply
    89,303.50x = 121,616 × 121,616
  4. Step 4: Simplify right side
    89,303.50x = 14,790,451,456
  5. Step 5: Solve for x
    x = 14,790,451,456/89,303.50
  6. Step 6: Final answer
    x = 165,620.06

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.