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Finding the Third Proportional to 76,976 and 120,324

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Solution

The third proportional to 76,976 and 120,324 is: 188,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,976 : 120,324 = 120,324 : x
  2. Step 2: Convert to fraction form
    76,976/120,324 = 120,324/x
  3. Step 3: Cross multiply
    76,976x = 120,324 × 120,324
  4. Step 4: Simplify right side
    76,976x = 14,477,864,976
  5. Step 5: Solve for x
    x = 14,477,864,976/76,976
  6. Step 6: Final answer
    x = 188,082.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.