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Finding the Third Proportional to 35,262 and 73,439

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Solution

The third proportional to 35,262 and 73,439 is: 152,948.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,262 : 73,439 = 73,439 : x
  2. Step 2: Convert to fraction form
    35,262/73,439 = 73,439/x
  3. Step 3: Cross multiply
    35,262x = 73,439 × 73,439
  4. Step 4: Simplify right side
    35,262x = 5,393,286,721
  5. Step 5: Solve for x
    x = 5,393,286,721/35,262
  6. Step 6: Final answer
    x = 152,948.97

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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.