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Finding the Third Proportional to 61,536 and 83,529

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Solution

The third proportional to 61,536 and 83,529 is: 113,382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,536 : 83,529 = 83,529 : x
  2. Step 2: Convert to fraction form
    61,536/83,529 = 83,529/x
  3. Step 3: Cross multiply
    61,536x = 83,529 × 83,529
  4. Step 4: Simplify right side
    61,536x = 6,977,093,841
  5. Step 5: Solve for x
    x = 6,977,093,841/61,536
  6. Step 6: Final answer
    x = 113,382.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.