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Finding the Third Proportional to 34,230 and 73,553

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Solution

The third proportional to 34,230 and 73,553 is: 158,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,230 : 73,553 = 73,553 : x
  2. Step 2: Convert to fraction form
    34,230/73,553 = 73,553/x
  3. Step 3: Cross multiply
    34,230x = 73,553 × 73,553
  4. Step 4: Simplify right side
    34,230x = 5,410,043,809
  5. Step 5: Solve for x
    x = 5,410,043,809/34,230
  6. Step 6: Final answer
    x = 158,049.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.