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Finding the Third Proportional to 70,021.50 and 105,084

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Solution

The third proportional to 70,021.50 and 105,084 is: 157,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,021.50 : 105,084 = 105,084 : x
  2. Step 2: Convert to fraction form
    70,021.50/105,084 = 105,084/x
  3. Step 3: Cross multiply
    70,021.50x = 105,084 × 105,084
  4. Step 4: Simplify right side
    70,021.50x = 11,042,647,056
  5. Step 5: Solve for x
    x = 11,042,647,056/70,021.50
  6. Step 6: Final answer
    x = 157,703.66

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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.