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Finding the Third Proportional to 39,113 and 82,529

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Solution

The third proportional to 39,113 and 82,529 is: 174,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,113 : 82,529 = 82,529 : x
  2. Step 2: Convert to fraction form
    39,113/82,529 = 82,529/x
  3. Step 3: Cross multiply
    39,113x = 82,529 × 82,529
  4. Step 4: Simplify right side
    39,113x = 6,811,035,841
  5. Step 5: Solve for x
    x = 6,811,035,841/39,113
  6. Step 6: Final answer
    x = 174,137.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.