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Finding the Third Proportional to 123,207.75 and 136,167.75

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Solution

The third proportional to 123,207.75 and 136,167.75 is: 150,490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,207.75 : 136,167.75 = 136,167.75 : x
  2. Step 2: Convert to fraction form
    123,207.75/136,167.75 = 136,167.75/x
  3. Step 3: Cross multiply
    123,207.75x = 136,167.75 × 136,167.75
  4. Step 4: Simplify right side
    123,207.75x = 18,541,656,140.06
  5. Step 5: Solve for x
    x = 18,541,656,140.06/123,207.75
  6. Step 6: Final answer
    x = 150,490.99

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.