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Finding the Third Proportional to 124,546 and 188,114

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Solution

The third proportional to 124,546 and 188,114 is: 284,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,546 : 188,114 = 188,114 : x
  2. Step 2: Convert to fraction form
    124,546/188,114 = 188,114/x
  3. Step 3: Cross multiply
    124,546x = 188,114 × 188,114
  4. Step 4: Simplify right side
    124,546x = 35,386,876,996
  5. Step 5: Solve for x
    x = 35,386,876,996/124,546
  6. Step 6: Final answer
    x = 284,126.97

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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.