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Finding the Third Proportional to 80,513 and 171,421

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Solution

The third proportional to 80,513 and 171,421 is: 364,974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,513 : 171,421 = 171,421 : x
  2. Step 2: Convert to fraction form
    80,513/171,421 = 171,421/x
  3. Step 3: Cross multiply
    80,513x = 171,421 × 171,421
  4. Step 4: Simplify right side
    80,513x = 29,385,159,241
  5. Step 5: Solve for x
    x = 29,385,159,241/80,513
  6. Step 6: Final answer
    x = 364,974.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.