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Finding the Third Proportional to 51,922 and 112,592

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Solution

The third proportional to 51,922 and 112,592 is: 244,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,922 : 112,592 = 112,592 : x
  2. Step 2: Convert to fraction form
    51,922/112,592 = 112,592/x
  3. Step 3: Cross multiply
    51,922x = 112,592 × 112,592
  4. Step 4: Simplify right side
    51,922x = 12,676,958,464
  5. Step 5: Solve for x
    x = 12,676,958,464/51,922
  6. Step 6: Final answer
    x = 244,153.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.