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Finding the Third Proportional to 57,221.44 and 124,293.87

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Solution

The third proportional to 57,221.44 and 124,293.87 is: 269,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,221.44 : 124,293.87 = 124,293.87 : x
  2. Step 2: Convert to fraction form
    57,221.44/124,293.87 = 124,293.87/x
  3. Step 3: Cross multiply
    57,221.44x = 124,293.87 × 124,293.87
  4. Step 4: Simplify right side
    57,221.44x = 15,448,965,420.42
  5. Step 5: Solve for x
    x = 15,448,965,420.42/57,221.44
  6. Step 6: Final answer
    x = 269,985.62

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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.