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Finding the Third Proportional to 52,044 and 110,568

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Solution

The third proportional to 52,044 and 110,568 is: 234,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,044 : 110,568 = 110,568 : x
  2. Step 2: Convert to fraction form
    52,044/110,568 = 110,568/x
  3. Step 3: Cross multiply
    52,044x = 110,568 × 110,568
  4. Step 4: Simplify right side
    52,044x = 12,225,282,624
  5. Step 5: Solve for x
    x = 12,225,282,624/52,044
  6. Step 6: Final answer
    x = 234,902.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.