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Finding the Third Proportional to 57,965.25 and 122,156.25

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Solution

The third proportional to 57,965.25 and 122,156.25 is: 257,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,965.25 : 122,156.25 = 122,156.25 : x
  2. Step 2: Convert to fraction form
    57,965.25/122,156.25 = 122,156.25/x
  3. Step 3: Cross multiply
    57,965.25x = 122,156.25 × 122,156.25
  4. Step 4: Simplify right side
    57,965.25x = 14,922,149,414.06
  5. Step 5: Solve for x
    x = 14,922,149,414.06/57,965.25
  6. Step 6: Final answer
    x = 257,432.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.