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Finding the Third Proportional to 75,359 and 158,474

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Solution

The third proportional to 75,359 and 158,474 is: 333,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,359 : 158,474 = 158,474 : x
  2. Step 2: Convert to fraction form
    75,359/158,474 = 158,474/x
  3. Step 3: Cross multiply
    75,359x = 158,474 × 158,474
  4. Step 4: Simplify right side
    75,359x = 25,114,008,676
  5. Step 5: Solve for x
    x = 25,114,008,676/75,359
  6. Step 6: Final answer
    x = 333,258.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.