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Finding the Third Proportional to 71,394 and 148,404

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Solution

The third proportional to 71,394 and 148,404 is: 308,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,394 : 148,404 = 148,404 : x
  2. Step 2: Convert to fraction form
    71,394/148,404 = 148,404/x
  3. Step 3: Cross multiply
    71,394x = 148,404 × 148,404
  4. Step 4: Simplify right side
    71,394x = 22,023,747,216
  5. Step 5: Solve for x
    x = 22,023,747,216/71,394
  6. Step 6: Final answer
    x = 308,481.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.