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Finding the Third Proportional to 67,930 and 147,529

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Solution

The third proportional to 67,930 and 147,529 is: 320,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,930 : 147,529 = 147,529 : x
  2. Step 2: Convert to fraction form
    67,930/147,529 = 147,529/x
  3. Step 3: Cross multiply
    67,930x = 147,529 × 147,529
  4. Step 4: Simplify right side
    67,930x = 21,764,805,841
  5. Step 5: Solve for x
    x = 21,764,805,841/67,930
  6. Step 6: Final answer
    x = 320,400.50

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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.