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Finding the Third Proportional to 56,008 and 122,288

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Solution

The third proportional to 56,008 and 122,288 is: 267,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,008 : 122,288 = 122,288 : x
  2. Step 2: Convert to fraction form
    56,008/122,288 = 122,288/x
  3. Step 3: Cross multiply
    56,008x = 122,288 × 122,288
  4. Step 4: Simplify right side
    56,008x = 14,954,354,944
  5. Step 5: Solve for x
    x = 14,954,354,944/56,008
  6. Step 6: Final answer
    x = 267,003.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.