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Finding the Third Proportional to 52,022 and 112,900

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Solution

The third proportional to 52,022 and 112,900 is: 245,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,022 : 112,900 = 112,900 : x
  2. Step 2: Convert to fraction form
    52,022/112,900 = 112,900/x
  3. Step 3: Cross multiply
    52,022x = 112,900 × 112,900
  4. Step 4: Simplify right side
    52,022x = 12,746,410,000
  5. Step 5: Solve for x
    x = 12,746,410,000/52,022
  6. Step 6: Final answer
    x = 245,019.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.