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Finding the Third Proportional to 52,614 and 110,844

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Solution

The third proportional to 52,614 and 110,844 is: 233,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,614 : 110,844 = 110,844 : x
  2. Step 2: Convert to fraction form
    52,614/110,844 = 110,844/x
  3. Step 3: Cross multiply
    52,614x = 110,844 × 110,844
  4. Step 4: Simplify right side
    52,614x = 12,286,392,336
  5. Step 5: Solve for x
    x = 12,286,392,336/52,614
  6. Step 6: Final answer
    x = 233,519.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.