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Finding the Third Proportional to 25,289 and 56,194

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Solution

The third proportional to 25,289 and 56,194 is: 124,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,289 : 56,194 = 56,194 : x
  2. Step 2: Convert to fraction form
    25,289/56,194 = 56,194/x
  3. Step 3: Cross multiply
    25,289x = 56,194 × 56,194
  4. Step 4: Simplify right side
    25,289x = 3,157,765,636
  5. Step 5: Solve for x
    x = 3,157,765,636/25,289
  6. Step 6: Final answer
    x = 124,867.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.