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Finding the Third Proportional to 100,938 and 156,741

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Solution

The third proportional to 100,938 and 156,741 is: 243,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,938 : 156,741 = 156,741 : x
  2. Step 2: Convert to fraction form
    100,938/156,741 = 156,741/x
  3. Step 3: Cross multiply
    100,938x = 156,741 × 156,741
  4. Step 4: Simplify right side
    100,938x = 24,567,741,081
  5. Step 5: Solve for x
    x = 24,567,741,081/100,938
  6. Step 6: Final answer
    x = 243,394.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.