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Finding the Third Proportional to 78,237 and 170,811

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Solution

The third proportional to 78,237 and 170,811 is: 372,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,237 : 170,811 = 170,811 : x
  2. Step 2: Convert to fraction form
    78,237/170,811 = 170,811/x
  3. Step 3: Cross multiply
    78,237x = 170,811 × 170,811
  4. Step 4: Simplify right side
    78,237x = 29,176,397,721
  5. Step 5: Solve for x
    x = 29,176,397,721/78,237
  6. Step 6: Final answer
    x = 372,923.27

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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.