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Finding the Third Proportional to 122,651 and 179,938

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Solution

The third proportional to 122,651 and 179,938 is: 263,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,651 : 179,938 = 179,938 : x
  2. Step 2: Convert to fraction form
    122,651/179,938 = 179,938/x
  3. Step 3: Cross multiply
    122,651x = 179,938 × 179,938
  4. Step 4: Simplify right side
    122,651x = 32,377,683,844
  5. Step 5: Solve for x
    x = 32,377,683,844/122,651
  6. Step 6: Final answer
    x = 263,982.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.