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Finding the Third Proportional to 57,242.95 and 124,667.23

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Solution

The third proportional to 57,242.95 and 124,667.23 is: 271,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242.95 : 124,667.23 = 124,667.23 : x
  2. Step 2: Convert to fraction form
    57,242.95/124,667.23 = 124,667.23/x
  3. Step 3: Cross multiply
    57,242.95x = 124,667.23 × 124,667.23
  4. Step 4: Simplify right side
    57,242.95x = 15,541,917,378.79
  5. Step 5: Solve for x
    x = 15,541,917,378.79/57,242.95
  6. Step 6: Final answer
    x = 271,507.96

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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.