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Finding the Third Proportional to 123,761.25 and 193,038.19

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Solution

The third proportional to 123,761.25 and 193,038.19 is: 301,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,761.25 : 193,038.19 = 193,038.19 : x
  2. Step 2: Convert to fraction form
    123,761.25/193,038.19 = 193,038.19/x
  3. Step 3: Cross multiply
    123,761.25x = 193,038.19 × 193,038.19
  4. Step 4: Simplify right side
    123,761.25x = 37,263,741,833.29
  5. Step 5: Solve for x
    x = 37,263,741,833.29/123,761.25
  6. Step 6: Final answer
    x = 301,093.77

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.