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Finding the Third Proportional to 71,396 and 148,408

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Solution

The third proportional to 71,396 and 148,408 is: 308,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,396 : 148,408 = 148,408 : x
  2. Step 2: Convert to fraction form
    71,396/148,408 = 148,408/x
  3. Step 3: Cross multiply
    71,396x = 148,408 × 148,408
  4. Step 4: Simplify right side
    71,396x = 22,024,934,464
  5. Step 5: Solve for x
    x = 22,024,934,464/71,396
  6. Step 6: Final answer
    x = 308,489.75

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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.