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Finding the Third Proportional to 52,956 and 109,584

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Solution

The third proportional to 52,956 and 109,584 is: 226,766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,956 : 109,584 = 109,584 : x
  2. Step 2: Convert to fraction form
    52,956/109,584 = 109,584/x
  3. Step 3: Cross multiply
    52,956x = 109,584 × 109,584
  4. Step 4: Simplify right side
    52,956x = 12,008,653,056
  5. Step 5: Solve for x
    x = 12,008,653,056/52,956
  6. Step 6: Final answer
    x = 226,766.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.