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Finding the Third Proportional to 123,218 and 179,084

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Solution

The third proportional to 123,218 and 179,084 is: 260,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,218 : 179,084 = 179,084 : x
  2. Step 2: Convert to fraction form
    123,218/179,084 = 179,084/x
  3. Step 3: Cross multiply
    123,218x = 179,084 × 179,084
  4. Step 4: Simplify right side
    123,218x = 32,071,079,056
  5. Step 5: Solve for x
    x = 32,071,079,056/123,218
  6. Step 6: Final answer
    x = 260,279.17

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.