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Finding the Third Proportional to 71,769 and 106,833

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Solution

The third proportional to 71,769 and 106,833 is: 159,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,769 : 106,833 = 106,833 : x
  2. Step 2: Convert to fraction form
    71,769/106,833 = 106,833/x
  3. Step 3: Cross multiply
    71,769x = 106,833 × 106,833
  4. Step 4: Simplify right side
    71,769x = 11,413,289,889
  5. Step 5: Solve for x
    x = 11,413,289,889/71,769
  6. Step 6: Final answer
    x = 159,028.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.