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Finding the Third Proportional to 124,974 and 178,112

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Solution

The third proportional to 124,974 and 178,112 is: 253,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,974 : 178,112 = 178,112 : x
  2. Step 2: Convert to fraction form
    124,974/178,112 = 178,112/x
  3. Step 3: Cross multiply
    124,974x = 178,112 × 178,112
  4. Step 4: Simplify right side
    124,974x = 31,723,884,544
  5. Step 5: Solve for x
    x = 31,723,884,544/124,974
  6. Step 6: Final answer
    x = 253,843.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.