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Finding the Third Proportional to 57,388.50 and 124,628.63

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Solution

The third proportional to 57,388.50 and 124,628.63 is: 270,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,388.50 : 124,628.63 = 124,628.63 : x
  2. Step 2: Convert to fraction form
    57,388.50/124,628.63 = 124,628.63/x
  3. Step 3: Cross multiply
    57,388.50x = 124,628.63 × 124,628.63
  4. Step 4: Simplify right side
    57,388.50x = 15,532,294,169.39
  5. Step 5: Solve for x
    x = 15,532,294,169.39/57,388.50
  6. Step 6: Final answer
    x = 270,651.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.