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Finding the Third Proportional to 85,237 and 179,460

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Solution

The third proportional to 85,237 and 179,460 is: 377,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,237 : 179,460 = 179,460 : x
  2. Step 2: Convert to fraction form
    85,237/179,460 = 179,460/x
  3. Step 3: Cross multiply
    85,237x = 179,460 × 179,460
  4. Step 4: Simplify right side
    85,237x = 32,205,891,600
  5. Step 5: Solve for x
    x = 32,205,891,600/85,237
  6. Step 6: Final answer
    x = 377,839.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.