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Finding the Third Proportional to 51,188 and 77,568

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Solution

The third proportional to 51,188 and 77,568 is: 117,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,188 : 77,568 = 77,568 : x
  2. Step 2: Convert to fraction form
    51,188/77,568 = 77,568/x
  3. Step 3: Cross multiply
    51,188x = 77,568 × 77,568
  4. Step 4: Simplify right side
    51,188x = 6,016,794,624
  5. Step 5: Solve for x
    x = 6,016,794,624/51,188
  6. Step 6: Final answer
    x = 117,543.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.