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Finding the Third Proportional to 51,870 and 113,127

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Solution

The third proportional to 51,870 and 113,127 is: 246,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,870 : 113,127 = 113,127 : x
  2. Step 2: Convert to fraction form
    51,870/113,127 = 113,127/x
  3. Step 3: Cross multiply
    51,870x = 113,127 × 113,127
  4. Step 4: Simplify right side
    51,870x = 12,797,718,129
  5. Step 5: Solve for x
    x = 12,797,718,129/51,870
  6. Step 6: Final answer
    x = 246,726.78

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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.