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Finding the Third Proportional to 71,646 and 168,522

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Solution

The third proportional to 71,646 and 168,522 is: 396,388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,646 : 168,522 = 168,522 : x
  2. Step 2: Convert to fraction form
    71,646/168,522 = 168,522/x
  3. Step 3: Cross multiply
    71,646x = 168,522 × 168,522
  4. Step 4: Simplify right side
    71,646x = 28,399,664,484
  5. Step 5: Solve for x
    x = 28,399,664,484/71,646
  6. Step 6: Final answer
    x = 396,388.70

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.