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Finding the Third Proportional to 52,931 and 110,218

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Solution

The third proportional to 52,931 and 110,218 is: 229,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,931 : 110,218 = 110,218 : x
  2. Step 2: Convert to fraction form
    52,931/110,218 = 110,218/x
  3. Step 3: Cross multiply
    52,931x = 110,218 × 110,218
  4. Step 4: Simplify right side
    52,931x = 12,148,007,524
  5. Step 5: Solve for x
    x = 12,148,007,524/52,931
  6. Step 6: Final answer
    x = 229,506.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.