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Finding the Third Proportional to 109,416 and 171,420

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Solution

The third proportional to 109,416 and 171,420 is: 268,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,416 : 171,420 = 171,420 : x
  2. Step 2: Convert to fraction form
    109,416/171,420 = 171,420/x
  3. Step 3: Cross multiply
    109,416x = 171,420 × 171,420
  4. Step 4: Simplify right side
    109,416x = 29,384,816,400
  5. Step 5: Solve for x
    x = 29,384,816,400/109,416
  6. Step 6: Final answer
    x = 268,560.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.