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Finding the Third Proportional to 71,614.13 and 109,709.44

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Solution

The third proportional to 71,614.13 and 109,709.44 is: 168,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,614.13 : 109,709.44 = 109,709.44 : x
  2. Step 2: Convert to fraction form
    71,614.13/109,709.44 = 109,709.44/x
  3. Step 3: Cross multiply
    71,614.13x = 109,709.44 × 109,709.44
  4. Step 4: Simplify right side
    71,614.13x = 12,036,160,676.57
  5. Step 5: Solve for x
    x = 12,036,160,676.57/71,614.13
  6. Step 6: Final answer
    x = 168,069.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.