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Finding the Third Proportional to 52,829 and 106,522

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Solution

The third proportional to 52,829 and 106,522 is: 214,786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,829 : 106,522 = 106,522 : x
  2. Step 2: Convert to fraction form
    52,829/106,522 = 106,522/x
  3. Step 3: Cross multiply
    52,829x = 106,522 × 106,522
  4. Step 4: Simplify right side
    52,829x = 11,346,936,484
  5. Step 5: Solve for x
    x = 11,346,936,484/52,829
  6. Step 6: Final answer
    x = 214,786.13

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.