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Finding the Third Proportional to 95,944.50 and 154,065

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Solution

The third proportional to 95,944.50 and 154,065 is: 247,393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,944.50 : 154,065 = 154,065 : x
  2. Step 2: Convert to fraction form
    95,944.50/154,065 = 154,065/x
  3. Step 3: Cross multiply
    95,944.50x = 154,065 × 154,065
  4. Step 4: Simplify right side
    95,944.50x = 23,736,024,225
  5. Step 5: Solve for x
    x = 23,736,024,225/95,944.50
  6. Step 6: Final answer
    x = 247,393.28

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.