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Finding the Third Proportional to 51,127 and 111,250

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Solution

The third proportional to 51,127 and 111,250 is: 242,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,127 : 111,250 = 111,250 : x
  2. Step 2: Convert to fraction form
    51,127/111,250 = 111,250/x
  3. Step 3: Cross multiply
    51,127x = 111,250 × 111,250
  4. Step 4: Simplify right side
    51,127x = 12,376,562,500
  5. Step 5: Solve for x
    x = 12,376,562,500/51,127
  6. Step 6: Final answer
    x = 242,074.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.