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Finding the Third Proportional to 134,041 and 162,938

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Solution

The third proportional to 134,041 and 162,938 is: 198,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,041 : 162,938 = 162,938 : x
  2. Step 2: Convert to fraction form
    134,041/162,938 = 162,938/x
  3. Step 3: Cross multiply
    134,041x = 162,938 × 162,938
  4. Step 4: Simplify right side
    134,041x = 26,548,791,844
  5. Step 5: Solve for x
    x = 26,548,791,844/134,041
  6. Step 6: Final answer
    x = 198,064.71

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.