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Finding the Third Proportional to 52,486 and 110,900

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Solution

The third proportional to 52,486 and 110,900 is: 234,325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,486 : 110,900 = 110,900 : x
  2. Step 2: Convert to fraction form
    52,486/110,900 = 110,900/x
  3. Step 3: Cross multiply
    52,486x = 110,900 × 110,900
  4. Step 4: Simplify right side
    52,486x = 12,298,810,000
  5. Step 5: Solve for x
    x = 12,298,810,000/52,486
  6. Step 6: Final answer
    x = 234,325.53

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.