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Finding the Third Proportional to 56,442 and 122,615

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Solution

The third proportional to 56,442 and 122,615 is: 266,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,442 : 122,615 = 122,615 : x
  2. Step 2: Convert to fraction form
    56,442/122,615 = 122,615/x
  3. Step 3: Cross multiply
    56,442x = 122,615 × 122,615
  4. Step 4: Simplify right side
    56,442x = 15,034,438,225
  5. Step 5: Solve for x
    x = 15,034,438,225/56,442
  6. Step 6: Final answer
    x = 266,369.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.