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Finding the Third Proportional to 52,919 and 113,512

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Solution

The third proportional to 52,919 and 113,512 is: 243,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,919 : 113,512 = 113,512 : x
  2. Step 2: Convert to fraction form
    52,919/113,512 = 113,512/x
  3. Step 3: Cross multiply
    52,919x = 113,512 × 113,512
  4. Step 4: Simplify right side
    52,919x = 12,884,974,144
  5. Step 5: Solve for x
    x = 12,884,974,144/52,919
  6. Step 6: Final answer
    x = 243,484.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.