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Finding the Third Proportional to 89,604 and 121,763.25

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Solution

The third proportional to 89,604 and 121,763.25 is: 165,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,604 : 121,763.25 = 121,763.25 : x
  2. Step 2: Convert to fraction form
    89,604/121,763.25 = 121,763.25/x
  3. Step 3: Cross multiply
    89,604x = 121,763.25 × 121,763.25
  4. Step 4: Simplify right side
    89,604x = 14,826,289,050.56
  5. Step 5: Solve for x
    x = 14,826,289,050.56/89,604
  6. Step 6: Final answer
    x = 165,464.59

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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.