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Finding the Third Proportional to 57,792 and 120,166

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Solution

The third proportional to 57,792 and 120,166 is: 249,859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,792 : 120,166 = 120,166 : x
  2. Step 2: Convert to fraction form
    57,792/120,166 = 120,166/x
  3. Step 3: Cross multiply
    57,792x = 120,166 × 120,166
  4. Step 4: Simplify right side
    57,792x = 14,439,867,556
  5. Step 5: Solve for x
    x = 14,439,867,556/57,792
  6. Step 6: Final answer
    x = 249,859.28

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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.