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Finding the Third Proportional to 89,074.69 and 131,235.19

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Solution

The third proportional to 89,074.69 and 131,235.19 is: 193,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,074.69 : 131,235.19 = 131,235.19 : x
  2. Step 2: Convert to fraction form
    89,074.69/131,235.19 = 131,235.19/x
  3. Step 3: Cross multiply
    89,074.69x = 131,235.19 × 131,235.19
  4. Step 4: Simplify right side
    89,074.69x = 17,222,674,438.16
  5. Step 5: Solve for x
    x = 17,222,674,438.16/89,074.69
  6. Step 6: Final answer
    x = 193,350.94

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Why These Related Problems?

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