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Finding the Third Proportional to 126,376 and 267,248

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Solution

The third proportional to 126,376 and 267,248 is: 565,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,376 : 267,248 = 267,248 : x
  2. Step 2: Convert to fraction form
    126,376/267,248 = 267,248/x
  3. Step 3: Cross multiply
    126,376x = 267,248 × 267,248
  4. Step 4: Simplify right side
    126,376x = 71,421,493,504
  5. Step 5: Solve for x
    x = 71,421,493,504/126,376
  6. Step 6: Final answer
    x = 565,150.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.