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Finding the Third Proportional to 89,605.50 and 121,764

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Solution

The third proportional to 89,605.50 and 121,764 is: 165,463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,605.50 : 121,764 = 121,764 : x
  2. Step 2: Convert to fraction form
    89,605.50/121,764 = 121,764/x
  3. Step 3: Cross multiply
    89,605.50x = 121,764 × 121,764
  4. Step 4: Simplify right side
    89,605.50x = 14,826,471,696
  5. Step 5: Solve for x
    x = 14,826,471,696/89,605.50
  6. Step 6: Final answer
    x = 165,463.86

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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.