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Finding the Third Proportional to 69,486 and 110,529

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Solution

The third proportional to 69,486 and 110,529 is: 175,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,486 : 110,529 = 110,529 : x
  2. Step 2: Convert to fraction form
    69,486/110,529 = 110,529/x
  3. Step 3: Cross multiply
    69,486x = 110,529 × 110,529
  4. Step 4: Simplify right side
    69,486x = 12,216,659,841
  5. Step 5: Solve for x
    x = 12,216,659,841/69,486
  6. Step 6: Final answer
    x = 175,814.69

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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.