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Finding the Third Proportional to 50,005 and 105,630

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Solution

The third proportional to 50,005 and 105,630 is: 223,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,005 : 105,630 = 105,630 : x
  2. Step 2: Convert to fraction form
    50,005/105,630 = 105,630/x
  3. Step 3: Cross multiply
    50,005x = 105,630 × 105,630
  4. Step 4: Simplify right side
    50,005x = 11,157,696,900
  5. Step 5: Solve for x
    x = 11,157,696,900/50,005
  6. Step 6: Final answer
    x = 223,131.62

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.