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Finding the Third Proportional to 51,078 and 108,237

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Solution

The third proportional to 51,078 and 108,237 is: 229,359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,078 : 108,237 = 108,237 : x
  2. Step 2: Convert to fraction form
    51,078/108,237 = 108,237/x
  3. Step 3: Cross multiply
    51,078x = 108,237 × 108,237
  4. Step 4: Simplify right side
    51,078x = 11,715,248,169
  5. Step 5: Solve for x
    x = 11,715,248,169/51,078
  6. Step 6: Final answer
    x = 229,359.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.