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Finding the Third Proportional to 74,228 and 152,100

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Solution

The third proportional to 74,228 and 152,100 is: 311,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,228 : 152,100 = 152,100 : x
  2. Step 2: Convert to fraction form
    74,228/152,100 = 152,100/x
  3. Step 3: Cross multiply
    74,228x = 152,100 × 152,100
  4. Step 4: Simplify right side
    74,228x = 23,134,410,000
  5. Step 5: Solve for x
    x = 23,134,410,000/74,228
  6. Step 6: Final answer
    x = 311,666.89

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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.