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Finding the Third Proportional to 50,645 and 109,930

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Solution

The third proportional to 50,645 and 109,930 is: 238,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,645 : 109,930 = 109,930 : x
  2. Step 2: Convert to fraction form
    50,645/109,930 = 109,930/x
  3. Step 3: Cross multiply
    50,645x = 109,930 × 109,930
  4. Step 4: Simplify right side
    50,645x = 12,084,604,900
  5. Step 5: Solve for x
    x = 12,084,604,900/50,645
  6. Step 6: Final answer
    x = 238,613.98

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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.