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Finding the Third Proportional to 82,923 and 124,627

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Solution

The third proportional to 82,923 and 124,627 is: 187,304.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,923 : 124,627 = 124,627 : x
  2. Step 2: Convert to fraction form
    82,923/124,627 = 124,627/x
  3. Step 3: Cross multiply
    82,923x = 124,627 × 124,627
  4. Step 4: Simplify right side
    82,923x = 15,531,889,129
  5. Step 5: Solve for x
    x = 15,531,889,129/82,923
  6. Step 6: Final answer
    x = 187,304.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.