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Finding the Third Proportional to 92,027 and 129,562

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Solution

The third proportional to 92,027 and 129,562 is: 182,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,027 : 129,562 = 129,562 : x
  2. Step 2: Convert to fraction form
    92,027/129,562 = 129,562/x
  3. Step 3: Cross multiply
    92,027x = 129,562 × 129,562
  4. Step 4: Simplify right side
    92,027x = 16,786,311,844
  5. Step 5: Solve for x
    x = 16,786,311,844/92,027
  6. Step 6: Final answer
    x = 182,406.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.