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Finding the Third Proportional to 89,941 and 129,938

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Solution

The third proportional to 89,941 and 129,938 is: 187,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,941 : 129,938 = 129,938 : x
  2. Step 2: Convert to fraction form
    89,941/129,938 = 129,938/x
  3. Step 3: Cross multiply
    89,941x = 129,938 × 129,938
  4. Step 4: Simplify right side
    89,941x = 16,883,883,844
  5. Step 5: Solve for x
    x = 16,883,883,844/89,941
  6. Step 6: Final answer
    x = 187,721.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.