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Finding the Third Proportional to 34,359 and 74,593

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Solution

The third proportional to 34,359 and 74,593 is: 161,940.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,359 : 74,593 = 74,593 : x
  2. Step 2: Convert to fraction form
    34,359/74,593 = 74,593/x
  3. Step 3: Cross multiply
    34,359x = 74,593 × 74,593
  4. Step 4: Simplify right side
    34,359x = 5,564,115,649
  5. Step 5: Solve for x
    x = 5,564,115,649/34,359
  6. Step 6: Final answer
    x = 161,940.56

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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.