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Finding the Third Proportional to 52,630 and 113,685

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Solution

The third proportional to 52,630 and 113,685 is: 245,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,630 : 113,685 = 113,685 : x
  2. Step 2: Convert to fraction form
    52,630/113,685 = 113,685/x
  3. Step 3: Cross multiply
    52,630x = 113,685 × 113,685
  4. Step 4: Simplify right side
    52,630x = 12,924,279,225
  5. Step 5: Solve for x
    x = 12,924,279,225/52,630
  6. Step 6: Final answer
    x = 245,568.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.