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Finding the Third Proportional to 73,181.50 and 152,105

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Solution

The third proportional to 73,181.50 and 152,105 is: 316,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,181.50 : 152,105 = 152,105 : x
  2. Step 2: Convert to fraction form
    73,181.50/152,105 = 152,105/x
  3. Step 3: Cross multiply
    73,181.50x = 152,105 × 152,105
  4. Step 4: Simplify right side
    73,181.50x = 23,135,931,025
  5. Step 5: Solve for x
    x = 23,135,931,025/73,181.50
  6. Step 6: Final answer
    x = 316,144.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.