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Finding the Third Proportional to 51,630 and 113,736

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Solution

The third proportional to 51,630 and 113,736 is: 250,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,630 : 113,736 = 113,736 : x
  2. Step 2: Convert to fraction form
    51,630/113,736 = 113,736/x
  3. Step 3: Cross multiply
    51,630x = 113,736 × 113,736
  4. Step 4: Simplify right side
    51,630x = 12,935,877,696
  5. Step 5: Solve for x
    x = 12,935,877,696/51,630
  6. Step 6: Final answer
    x = 250,549.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.