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Finding the Third Proportional to 87,106.50 and 122,670

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Solution

The third proportional to 87,106.50 and 122,670 is: 172,753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,106.50 : 122,670 = 122,670 : x
  2. Step 2: Convert to fraction form
    87,106.50/122,670 = 122,670/x
  3. Step 3: Cross multiply
    87,106.50x = 122,670 × 122,670
  4. Step 4: Simplify right side
    87,106.50x = 15,047,928,900
  5. Step 5: Solve for x
    x = 15,047,928,900/87,106.50
  6. Step 6: Final answer
    x = 172,753.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.