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Finding the Third Proportional to 56,468 and 122,242

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Solution

The third proportional to 56,468 and 122,242 is: 264,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,468 : 122,242 = 122,242 : x
  2. Step 2: Convert to fraction form
    56,468/122,242 = 122,242/x
  3. Step 3: Cross multiply
    56,468x = 122,242 × 122,242
  4. Step 4: Simplify right side
    56,468x = 14,943,106,564
  5. Step 5: Solve for x
    x = 14,943,106,564/56,468
  6. Step 6: Final answer
    x = 264,629.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.