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Finding the Third Proportional to 123,232 and 195,904

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Solution

The third proportional to 123,232 and 195,904 is: 311,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,232 : 195,904 = 195,904 : x
  2. Step 2: Convert to fraction form
    123,232/195,904 = 195,904/x
  3. Step 3: Cross multiply
    123,232x = 195,904 × 195,904
  4. Step 4: Simplify right side
    123,232x = 38,378,377,216
  5. Step 5: Solve for x
    x = 38,378,377,216/123,232
  6. Step 6: Final answer
    x = 311,431.91

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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.