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Finding the Third Proportional to 52,885 and 115,490

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Solution

The third proportional to 52,885 and 115,490 is: 252,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,885 : 115,490 = 115,490 : x
  2. Step 2: Convert to fraction form
    52,885/115,490 = 115,490/x
  3. Step 3: Cross multiply
    52,885x = 115,490 × 115,490
  4. Step 4: Simplify right side
    52,885x = 13,337,940,100
  5. Step 5: Solve for x
    x = 13,337,940,100/52,885
  6. Step 6: Final answer
    x = 252,206.49

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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.