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Finding the Third Proportional to 67,819.50 and 152,318

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Solution

The third proportional to 67,819.50 and 152,318 is: 342,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,819.50 : 152,318 = 152,318 : x
  2. Step 2: Convert to fraction form
    67,819.50/152,318 = 152,318/x
  3. Step 3: Cross multiply
    67,819.50x = 152,318 × 152,318
  4. Step 4: Simplify right side
    67,819.50x = 23,200,773,124
  5. Step 5: Solve for x
    x = 23,200,773,124/67,819.50
  6. Step 6: Final answer
    x = 342,095.90

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.