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Finding the Third Proportional to 50,010 and 104,637

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Solution

The third proportional to 50,010 and 104,637 is: 218,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,010 : 104,637 = 104,637 : x
  2. Step 2: Convert to fraction form
    50,010/104,637 = 104,637/x
  3. Step 3: Cross multiply
    50,010x = 104,637 × 104,637
  4. Step 4: Simplify right side
    50,010x = 10,948,901,769
  5. Step 5: Solve for x
    x = 10,948,901,769/50,010
  6. Step 6: Final answer
    x = 218,934.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.