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Finding the Third Proportional to 57,228.75 and 124,308.84

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Solution

The third proportional to 57,228.75 and 124,308.84 is: 270,016.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,228.75 : 124,308.84 = 124,308.84 : x
  2. Step 2: Convert to fraction form
    57,228.75/124,308.84 = 124,308.84/x
  3. Step 3: Cross multiply
    57,228.75x = 124,308.84 × 124,308.84
  4. Step 4: Simplify right side
    57,228.75x = 15,452,688,634.46
  5. Step 5: Solve for x
    x = 15,452,688,634.46/57,228.75
  6. Step 6: Final answer
    x = 270,016.18

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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.