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Finding the Third Proportional to 79,576 and 108,137

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Solution

The third proportional to 79,576 and 108,137 is: 146,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,576 : 108,137 = 108,137 : x
  2. Step 2: Convert to fraction form
    79,576/108,137 = 108,137/x
  3. Step 3: Cross multiply
    79,576x = 108,137 × 108,137
  4. Step 4: Simplify right side
    79,576x = 11,693,610,769
  5. Step 5: Solve for x
    x = 11,693,610,769/79,576
  6. Step 6: Final answer
    x = 146,948.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.