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Finding the Third Proportional to 52,269 and 112,922

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Solution

The third proportional to 52,269 and 112,922 is: 243,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,269 : 112,922 = 112,922 : x
  2. Step 2: Convert to fraction form
    52,269/112,922 = 112,922/x
  3. Step 3: Cross multiply
    52,269x = 112,922 × 112,922
  4. Step 4: Simplify right side
    52,269x = 12,751,378,084
  5. Step 5: Solve for x
    x = 12,751,378,084/52,269
  6. Step 6: Final answer
    x = 243,956.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.