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Finding the Third Proportional to 71,339 and 106,813

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Solution

The third proportional to 71,339 and 106,813 is: 159,926.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,339 : 106,813 = 106,813 : x
  2. Step 2: Convert to fraction form
    71,339/106,813 = 106,813/x
  3. Step 3: Cross multiply
    71,339x = 106,813 × 106,813
  4. Step 4: Simplify right side
    71,339x = 11,409,016,969
  5. Step 5: Solve for x
    x = 11,409,016,969/71,339
  6. Step 6: Final answer
    x = 159,926.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.