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Finding the Third Proportional to 123,120 and 167,130

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Solution

The third proportional to 123,120 and 167,130 is: 226,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,120 : 167,130 = 167,130 : x
  2. Step 2: Convert to fraction form
    123,120/167,130 = 167,130/x
  3. Step 3: Cross multiply
    123,120x = 167,130 × 167,130
  4. Step 4: Simplify right side
    123,120x = 27,932,436,900
  5. Step 5: Solve for x
    x = 27,932,436,900/123,120
  6. Step 6: Final answer
    x = 226,871.64

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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.