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Finding the Third Proportional to 56,325 and 121,317

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Solution

The third proportional to 56,325 and 121,317 is: 261,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,325 : 121,317 = 121,317 : x
  2. Step 2: Convert to fraction form
    56,325/121,317 = 121,317/x
  3. Step 3: Cross multiply
    56,325x = 121,317 × 121,317
  4. Step 4: Simplify right side
    56,325x = 14,717,814,489
  5. Step 5: Solve for x
    x = 14,717,814,489/56,325
  6. Step 6: Final answer
    x = 261,301.63

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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.