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Finding the Third Proportional to 50,172 and 108,264

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Solution

The third proportional to 50,172 and 108,264 is: 233,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,172 : 108,264 = 108,264 : x
  2. Step 2: Convert to fraction form
    50,172/108,264 = 108,264/x
  3. Step 3: Cross multiply
    50,172x = 108,264 × 108,264
  4. Step 4: Simplify right side
    50,172x = 11,721,093,696
  5. Step 5: Solve for x
    x = 11,721,093,696/50,172
  6. Step 6: Final answer
    x = 233,618.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.