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Finding the Third Proportional to 47,266 and 112,405

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Solution

The third proportional to 47,266 and 112,405 is: 267,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,266 : 112,405 = 112,405 : x
  2. Step 2: Convert to fraction form
    47,266/112,405 = 112,405/x
  3. Step 3: Cross multiply
    47,266x = 112,405 × 112,405
  4. Step 4: Simplify right side
    47,266x = 12,634,884,025
  5. Step 5: Solve for x
    x = 12,634,884,025/47,266
  6. Step 6: Final answer
    x = 267,314.43

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.