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Finding the Third Proportional to 80,021.63 and 174,807.75

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Solution

The third proportional to 80,021.63 and 174,807.75 is: 381,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,021.63 : 174,807.75 = 174,807.75 : x
  2. Step 2: Convert to fraction form
    80,021.63/174,807.75 = 174,807.75/x
  3. Step 3: Cross multiply
    80,021.63x = 174,807.75 × 174,807.75
  4. Step 4: Simplify right side
    80,021.63x = 30,557,749,460.06
  5. Step 5: Solve for x
    x = 30,557,749,460.06/80,021.63
  6. Step 6: Final answer
    x = 381,868.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.