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Finding the Third Proportional to 100,179 and 149,956.50

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Solution

The third proportional to 100,179 and 149,956.50 is: 224,467.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,179 : 149,956.50 = 149,956.50 : x
  2. Step 2: Convert to fraction form
    100,179/149,956.50 = 149,956.50/x
  3. Step 3: Cross multiply
    100,179x = 149,956.50 × 149,956.50
  4. Step 4: Simplify right side
    100,179x = 22,486,951,892.25
  5. Step 5: Solve for x
    x = 22,486,951,892.25/100,179
  6. Step 6: Final answer
    x = 224,467.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.