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Finding the Third Proportional to 56,326 and 122,386

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Solution

The third proportional to 56,326 and 122,386 is: 265,922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,326 : 122,386 = 122,386 : x
  2. Step 2: Convert to fraction form
    56,326/122,386 = 122,386/x
  3. Step 3: Cross multiply
    56,326x = 122,386 × 122,386
  4. Step 4: Simplify right side
    56,326x = 14,978,332,996
  5. Step 5: Solve for x
    x = 14,978,332,996/56,326
  6. Step 6: Final answer
    x = 265,922.19

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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.