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Finding the Third Proportional to 123,879 and 186,979

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Solution

The third proportional to 123,879 and 186,979 is: 282,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,879 : 186,979 = 186,979 : x
  2. Step 2: Convert to fraction form
    123,879/186,979 = 186,979/x
  3. Step 3: Cross multiply
    123,879x = 186,979 × 186,979
  4. Step 4: Simplify right side
    123,879x = 34,961,146,441
  5. Step 5: Solve for x
    x = 34,961,146,441/123,879
  6. Step 6: Final answer
    x = 282,220.12

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