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Finding the Third Proportional to 57,766 and 120,068

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Solution

The third proportional to 57,766 and 120,068 is: 249,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,766 : 120,068 = 120,068 : x
  2. Step 2: Convert to fraction form
    57,766/120,068 = 120,068/x
  3. Step 3: Cross multiply
    57,766x = 120,068 × 120,068
  4. Step 4: Simplify right side
    57,766x = 14,416,324,624
  5. Step 5: Solve for x
    x = 14,416,324,624/57,766
  6. Step 6: Final answer
    x = 249,564.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.