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Finding the Third Proportional to 123,361.75 and 185,953.75

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Solution

The third proportional to 123,361.75 and 185,953.75 is: 280,304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,361.75 : 185,953.75 = 185,953.75 : x
  2. Step 2: Convert to fraction form
    123,361.75/185,953.75 = 185,953.75/x
  3. Step 3: Cross multiply
    123,361.75x = 185,953.75 × 185,953.75
  4. Step 4: Simplify right side
    123,361.75x = 34,578,797,139.06
  5. Step 5: Solve for x
    x = 34,578,797,139.06/123,361.75
  6. Step 6: Final answer
    x = 280,304.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.