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Finding the Third Proportional to 76,082 and 154,468

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Solution

The third proportional to 76,082 and 154,468 is: 313,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,082 : 154,468 = 154,468 : x
  2. Step 2: Convert to fraction form
    76,082/154,468 = 154,468/x
  3. Step 3: Cross multiply
    76,082x = 154,468 × 154,468
  4. Step 4: Simplify right side
    76,082x = 23,860,363,024
  5. Step 5: Solve for x
    x = 23,860,363,024/76,082
  6. Step 6: Final answer
    x = 313,613.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.