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Finding the Third Proportional to 102,627 and 216,873

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Solution

The third proportional to 102,627 and 216,873 is: 458,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,627 : 216,873 = 216,873 : x
  2. Step 2: Convert to fraction form
    102,627/216,873 = 216,873/x
  3. Step 3: Cross multiply
    102,627x = 216,873 × 216,873
  4. Step 4: Simplify right side
    102,627x = 47,033,898,129
  5. Step 5: Solve for x
    x = 47,033,898,129/102,627
  6. Step 6: Final answer
    x = 458,299.45

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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.