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Finding the Third Proportional to 57,219.75 and 124,606.69

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Solution

The third proportional to 57,219.75 and 124,606.69 is: 271,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,219.75 : 124,606.69 = 124,606.69 : x
  2. Step 2: Convert to fraction form
    57,219.75/124,606.69 = 124,606.69/x
  3. Step 3: Cross multiply
    57,219.75x = 124,606.69 × 124,606.69
  4. Step 4: Simplify right side
    57,219.75x = 15,526,826,569.72
  5. Step 5: Solve for x
    x = 15,526,826,569.72/57,219.75
  6. Step 6: Final answer
    x = 271,354.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.