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Finding the Third Proportional to 52,278 and 109,416

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Solution

The third proportional to 52,278 and 109,416 is: 229,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,278 : 109,416 = 109,416 : x
  2. Step 2: Convert to fraction form
    52,278/109,416 = 109,416/x
  3. Step 3: Cross multiply
    52,278x = 109,416 × 109,416
  4. Step 4: Simplify right side
    52,278x = 11,971,861,056
  5. Step 5: Solve for x
    x = 11,971,861,056/52,278
  6. Step 6: Final answer
    x = 229,003.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.