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Finding the Third Proportional to 71,408 and 150,768

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Solution

The third proportional to 71,408 and 150,768 is: 318,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,408 : 150,768 = 150,768 : x
  2. Step 2: Convert to fraction form
    71,408/150,768 = 150,768/x
  3. Step 3: Cross multiply
    71,408x = 150,768 × 150,768
  4. Step 4: Simplify right side
    71,408x = 22,730,989,824
  5. Step 5: Solve for x
    x = 22,730,989,824/71,408
  6. Step 6: Final answer
    x = 318,325.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.