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Finding the Third Proportional to 77,409.75 and 123,162

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Solution

The third proportional to 77,409.75 and 123,162 is: 195,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,409.75 : 123,162 = 123,162 : x
  2. Step 2: Convert to fraction form
    77,409.75/123,162 = 123,162/x
  3. Step 3: Cross multiply
    77,409.75x = 123,162 × 123,162
  4. Step 4: Simplify right side
    77,409.75x = 15,168,878,244
  5. Step 5: Solve for x
    x = 15,168,878,244/77,409.75
  6. Step 6: Final answer
    x = 195,955.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.