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Finding the Third Proportional to 124,148.50 and 167,667

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Solution

The third proportional to 124,148.50 and 167,667 is: 226,440.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,148.50 : 167,667 = 167,667 : x
  2. Step 2: Convert to fraction form
    124,148.50/167,667 = 167,667/x
  3. Step 3: Cross multiply
    124,148.50x = 167,667 × 167,667
  4. Step 4: Simplify right side
    124,148.50x = 28,112,222,889
  5. Step 5: Solve for x
    x = 28,112,222,889/124,148.50
  6. Step 6: Final answer
    x = 226,440.29

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.