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Finding the Third Proportional to 67,932 and 147,533

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Solution

The third proportional to 67,932 and 147,533 is: 320,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,932 : 147,533 = 147,533 : x
  2. Step 2: Convert to fraction form
    67,932/147,533 = 147,533/x
  3. Step 3: Cross multiply
    67,932x = 147,533 × 147,533
  4. Step 4: Simplify right side
    67,932x = 21,765,986,089
  5. Step 5: Solve for x
    x = 21,765,986,089/67,932
  6. Step 6: Final answer
    x = 320,408.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.