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Finding the Third Proportional to 124,529 and 188,090

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Solution

The third proportional to 124,529 and 188,090 is: 284,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,529 : 188,090 = 188,090 : x
  2. Step 2: Convert to fraction form
    124,529/188,090 = 188,090/x
  3. Step 3: Cross multiply
    124,529x = 188,090 × 188,090
  4. Step 4: Simplify right side
    124,529x = 35,377,848,100
  5. Step 5: Solve for x
    x = 35,377,848,100/124,529
  6. Step 6: Final answer
    x = 284,093.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.