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Finding the Third Proportional to 51,977 and 112,250

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Solution

The third proportional to 51,977 and 112,250 is: 242,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,977 : 112,250 = 112,250 : x
  2. Step 2: Convert to fraction form
    51,977/112,250 = 112,250/x
  3. Step 3: Cross multiply
    51,977x = 112,250 × 112,250
  4. Step 4: Simplify right side
    51,977x = 12,600,062,500
  5. Step 5: Solve for x
    x = 12,600,062,500/51,977
  6. Step 6: Final answer
    x = 242,416.12

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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.