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Finding the Third Proportional to 47,876 and 102,264

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Solution

The third proportional to 47,876 and 102,264 is: 218,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,876 : 102,264 = 102,264 : x
  2. Step 2: Convert to fraction form
    47,876/102,264 = 102,264/x
  3. Step 3: Cross multiply
    47,876x = 102,264 × 102,264
  4. Step 4: Simplify right side
    47,876x = 10,457,925,696
  5. Step 5: Solve for x
    x = 10,457,925,696/47,876
  6. Step 6: Final answer
    x = 218,437.75

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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.