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Finding the Third Proportional to 123,305.63 and 167,097.38

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Solution

The third proportional to 123,305.63 and 167,097.38 is: 226,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,305.63 : 167,097.38 = 167,097.38 : x
  2. Step 2: Convert to fraction form
    123,305.63/167,097.38 = 167,097.38/x
  3. Step 3: Cross multiply
    123,305.63x = 167,097.38 × 167,097.38
  4. Step 4: Simplify right side
    123,305.63x = 27,921,532,731.89
  5. Step 5: Solve for x
    x = 27,921,532,731.89/123,305.63
  6. Step 6: Final answer
    x = 226,441.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.