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Finding the Third Proportional to 71,675 and 113,869

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Solution

The third proportional to 71,675 and 113,869 is: 180,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,675 : 113,869 = 113,869 : x
  2. Step 2: Convert to fraction form
    71,675/113,869 = 113,869/x
  3. Step 3: Cross multiply
    71,675x = 113,869 × 113,869
  4. Step 4: Simplify right side
    71,675x = 12,966,149,161
  5. Step 5: Solve for x
    x = 12,966,149,161/71,675
  6. Step 6: Final answer
    x = 180,901.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.