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Finding the Third Proportional to 56,170 and 76,963

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Solution

The third proportional to 56,170 and 76,963 is: 105,453.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,170 : 76,963 = 76,963 : x
  2. Step 2: Convert to fraction form
    56,170/76,963 = 76,963/x
  3. Step 3: Cross multiply
    56,170x = 76,963 × 76,963
  4. Step 4: Simplify right side
    56,170x = 5,923,303,369
  5. Step 5: Solve for x
    x = 5,923,303,369/56,170
  6. Step 6: Final answer
    x = 105,453.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.