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Finding the Third Proportional to 57,446.63 and 121,517.25

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Solution

The third proportional to 57,446.63 and 121,517.25 is: 257,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,446.63 : 121,517.25 = 121,517.25 : x
  2. Step 2: Convert to fraction form
    57,446.63/121,517.25 = 121,517.25/x
  3. Step 3: Cross multiply
    57,446.63x = 121,517.25 × 121,517.25
  4. Step 4: Simplify right side
    57,446.63x = 14,766,442,047.56
  5. Step 5: Solve for x
    x = 14,766,442,047.56/57,446.63
  6. Step 6: Final answer
    x = 257,046.29

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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.