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Finding the Third Proportional to 56,439 and 75,546

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Solution

The third proportional to 56,439 and 75,546 is: 101,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,439 : 75,546 = 75,546 : x
  2. Step 2: Convert to fraction form
    56,439/75,546 = 75,546/x
  3. Step 3: Cross multiply
    56,439x = 75,546 × 75,546
  4. Step 4: Simplify right side
    56,439x = 5,707,198,116
  5. Step 5: Solve for x
    x = 5,707,198,116/56,439
  6. Step 6: Final answer
    x = 101,121.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.