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Finding the Third Proportional to 124,826.50 and 267,149

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Solution

The third proportional to 124,826.50 and 267,149 is: 571,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,826.50 : 267,149 = 267,149 : x
  2. Step 2: Convert to fraction form
    124,826.50/267,149 = 267,149/x
  3. Step 3: Cross multiply
    124,826.50x = 267,149 × 267,149
  4. Step 4: Simplify right side
    124,826.50x = 71,368,588,201
  5. Step 5: Solve for x
    x = 71,368,588,201/124,826.50
  6. Step 6: Final answer
    x = 571,742.28

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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.