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Finding the Third Proportional to 57,454.31 and 121,844.25

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Solution

The third proportional to 57,454.31 and 121,844.25 is: 258,396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,454.31 : 121,844.25 = 121,844.25 : x
  2. Step 2: Convert to fraction form
    57,454.31/121,844.25 = 121,844.25/x
  3. Step 3: Cross multiply
    57,454.31x = 121,844.25 × 121,844.25
  4. Step 4: Simplify right side
    57,454.31x = 14,846,021,258.06
  5. Step 5: Solve for x
    x = 14,846,021,258.06/57,454.31
  6. Step 6: Final answer
    x = 258,396.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.