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Finding the Third Proportional to 52,285 and 114,822

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Solution

The third proportional to 52,285 and 114,822 is: 252,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,285 : 114,822 = 114,822 : x
  2. Step 2: Convert to fraction form
    52,285/114,822 = 114,822/x
  3. Step 3: Cross multiply
    52,285x = 114,822 × 114,822
  4. Step 4: Simplify right side
    52,285x = 13,184,091,684
  5. Step 5: Solve for x
    x = 13,184,091,684/52,285
  6. Step 6: Final answer
    x = 252,158.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.