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Finding the Third Proportional to 50,172 and 108,988

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Solution

The third proportional to 50,172 and 108,988 is: 236,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,172 : 108,988 = 108,988 : x
  2. Step 2: Convert to fraction form
    50,172/108,988 = 108,988/x
  3. Step 3: Cross multiply
    50,172x = 108,988 × 108,988
  4. Step 4: Simplify right side
    50,172x = 11,878,384,144
  5. Step 5: Solve for x
    x = 11,878,384,144/50,172
  6. Step 6: Final answer
    x = 236,753.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.