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Finding the Third Proportional to 52,116 and 122,900

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Solution

The third proportional to 52,116 and 122,900 is: 289,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,116 : 122,900 = 122,900 : x
  2. Step 2: Convert to fraction form
    52,116/122,900 = 122,900/x
  3. Step 3: Cross multiply
    52,116x = 122,900 × 122,900
  4. Step 4: Simplify right side
    52,116x = 15,104,410,000
  5. Step 5: Solve for x
    x = 15,104,410,000/52,116
  6. Step 6: Final answer
    x = 289,822.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.