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Finding the Third Proportional to 52,228 and 112,592

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Solution

The third proportional to 52,228 and 112,592 is: 242,723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,228 : 112,592 = 112,592 : x
  2. Step 2: Convert to fraction form
    52,228/112,592 = 112,592/x
  3. Step 3: Cross multiply
    52,228x = 112,592 × 112,592
  4. Step 4: Simplify right side
    52,228x = 12,676,958,464
  5. Step 5: Solve for x
    x = 12,676,958,464/52,228
  6. Step 6: Final answer
    x = 242,723.41

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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.