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Finding the Third Proportional to 123,974 and 254,482

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Solution

The third proportional to 123,974 and 254,482 is: 522,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,974 : 254,482 = 254,482 : x
  2. Step 2: Convert to fraction form
    123,974/254,482 = 254,482/x
  3. Step 3: Cross multiply
    123,974x = 254,482 × 254,482
  4. Step 4: Simplify right side
    123,974x = 64,761,088,324
  5. Step 5: Solve for x
    x = 64,761,088,324/123,974
  6. Step 6: Final answer
    x = 522,376.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.