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Finding the Third Proportional to 49,005 and 87,318

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Solution

The third proportional to 49,005 and 87,318 is: 155,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,005 : 87,318 = 87,318 : x
  2. Step 2: Convert to fraction form
    49,005/87,318 = 87,318/x
  3. Step 3: Cross multiply
    49,005x = 87,318 × 87,318
  4. Step 4: Simplify right side
    49,005x = 7,624,433,124
  5. Step 5: Solve for x
    x = 7,624,433,124/49,005
  6. Step 6: Final answer
    x = 155,584.80

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.