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Finding the Third Proportional to 80,124 and 170,973.38

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Solution

The third proportional to 80,124 and 170,973.38 is: 364,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,124 : 170,973.38 = 170,973.38 : x
  2. Step 2: Convert to fraction form
    80,124/170,973.38 = 170,973.38/x
  3. Step 3: Cross multiply
    80,124x = 170,973.38 × 170,973.38
  4. Step 4: Simplify right side
    80,124x = 29,231,894,958.89
  5. Step 5: Solve for x
    x = 29,231,894,958.89/80,124
  6. Step 6: Final answer
    x = 364,833.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.