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Finding the Third Proportional to 89,226.75 and 118,953.75

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Solution

The third proportional to 89,226.75 and 118,953.75 is: 158,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,226.75 : 118,953.75 = 118,953.75 : x
  2. Step 2: Convert to fraction form
    89,226.75/118,953.75 = 118,953.75/x
  3. Step 3: Cross multiply
    89,226.75x = 118,953.75 × 118,953.75
  4. Step 4: Simplify right side
    89,226.75x = 14,149,994,639.06
  5. Step 5: Solve for x
    x = 14,149,994,639.06/89,226.75
  6. Step 6: Final answer
    x = 158,584.67

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Why These Related Problems?

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