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Finding the Third Proportional to 57,221.09 and 124,293.52

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Solution

The third proportional to 57,221.09 and 124,293.52 is: 269,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,221.09 : 124,293.52 = 124,293.52 : x
  2. Step 2: Convert to fraction form
    57,221.09/124,293.52 = 124,293.52/x
  3. Step 3: Cross multiply
    57,221.09x = 124,293.52 × 124,293.52
  4. Step 4: Simplify right side
    57,221.09x = 15,448,878,026.42
  5. Step 5: Solve for x
    x = 15,448,878,026.42/57,221.09
  6. Step 6: Final answer
    x = 269,985.75

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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.