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Finding the Third Proportional to 47,167 and 102,757

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Solution

The third proportional to 47,167 and 102,757 is: 223,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,167 : 102,757 = 102,757 : x
  2. Step 2: Convert to fraction form
    47,167/102,757 = 102,757/x
  3. Step 3: Cross multiply
    47,167x = 102,757 × 102,757
  4. Step 4: Simplify right side
    47,167x = 10,559,001,049
  5. Step 5: Solve for x
    x = 10,559,001,049/47,167
  6. Step 6: Final answer
    x = 223,864.16

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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.