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Finding the Third Proportional to 124,680 and 267,225

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Solution

The third proportional to 124,680 and 267,225 is: 572,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,680 : 267,225 = 267,225 : x
  2. Step 2: Convert to fraction form
    124,680/267,225 = 267,225/x
  3. Step 3: Cross multiply
    124,680x = 267,225 × 267,225
  4. Step 4: Simplify right side
    124,680x = 71,409,200,625
  5. Step 5: Solve for x
    x = 71,409,200,625/124,680
  6. Step 6: Final answer
    x = 572,739.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.