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Finding the Third Proportional to 74,244 and 152,112

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Solution

The third proportional to 74,244 and 152,112 is: 311,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,244 : 152,112 = 152,112 : x
  2. Step 2: Convert to fraction form
    74,244/152,112 = 152,112/x
  3. Step 3: Cross multiply
    74,244x = 152,112 × 152,112
  4. Step 4: Simplify right side
    74,244x = 23,138,060,544
  5. Step 5: Solve for x
    x = 23,138,060,544/74,244
  6. Step 6: Final answer
    x = 311,648.89

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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.