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Finding the Third Proportional to 57,358.13 and 121,560.75

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Solution

The third proportional to 57,358.13 and 121,560.75 is: 257,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,358.13 : 121,560.75 = 121,560.75 : x
  2. Step 2: Convert to fraction form
    57,358.13/121,560.75 = 121,560.75/x
  3. Step 3: Cross multiply
    57,358.13x = 121,560.75 × 121,560.75
  4. Step 4: Simplify right side
    57,358.13x = 14,777,015,940.56
  5. Step 5: Solve for x
    x = 14,777,015,940.56/57,358.13
  6. Step 6: Final answer
    x = 257,627.25

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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.