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Finding the Third Proportional to 51,818 and 113,788

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Solution

The third proportional to 51,818 and 113,788 is: 249,868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,818 : 113,788 = 113,788 : x
  2. Step 2: Convert to fraction form
    51,818/113,788 = 113,788/x
  3. Step 3: Cross multiply
    51,818x = 113,788 × 113,788
  4. Step 4: Simplify right side
    51,818x = 12,947,708,944
  5. Step 5: Solve for x
    x = 12,947,708,944/51,818
  6. Step 6: Final answer
    x = 249,868.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.