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Finding the Third Proportional to 71,394 and 107,037

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Solution

The third proportional to 71,394 and 107,037 is: 160,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,394 : 107,037 = 107,037 : x
  2. Step 2: Convert to fraction form
    71,394/107,037 = 107,037/x
  3. Step 3: Cross multiply
    71,394x = 107,037 × 107,037
  4. Step 4: Simplify right side
    71,394x = 11,456,919,369
  5. Step 5: Solve for x
    x = 11,456,919,369/71,394
  6. Step 6: Final answer
    x = 160,474.54

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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.