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Finding the Third Proportional to 77,939.50 and 168,041

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Solution

The third proportional to 77,939.50 and 168,041 is: 362,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,939.50 : 168,041 = 168,041 : x
  2. Step 2: Convert to fraction form
    77,939.50/168,041 = 168,041/x
  3. Step 3: Cross multiply
    77,939.50x = 168,041 × 168,041
  4. Step 4: Simplify right side
    77,939.50x = 28,237,777,681
  5. Step 5: Solve for x
    x = 28,237,777,681/77,939.50
  6. Step 6: Final answer
    x = 362,303.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.