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Finding the Third Proportional to 56,968 and 122,702

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Solution

The third proportional to 56,968 and 122,702 is: 264,284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,968 : 122,702 = 122,702 : x
  2. Step 2: Convert to fraction form
    56,968/122,702 = 122,702/x
  3. Step 3: Cross multiply
    56,968x = 122,702 × 122,702
  4. Step 4: Simplify right side
    56,968x = 15,055,780,804
  5. Step 5: Solve for x
    x = 15,055,780,804/56,968
  6. Step 6: Final answer
    x = 264,284.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.