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Finding the Third Proportional to 77,149 and 168,302

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Solution

The third proportional to 77,149 and 168,302 is: 367,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,149 : 168,302 = 168,302 : x
  2. Step 2: Convert to fraction form
    77,149/168,302 = 168,302/x
  3. Step 3: Cross multiply
    77,149x = 168,302 × 168,302
  4. Step 4: Simplify right side
    77,149x = 28,325,563,204
  5. Step 5: Solve for x
    x = 28,325,563,204/77,149
  6. Step 6: Final answer
    x = 367,153.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.