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Finding the Third Proportional to 77,255 and 162,811

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Solution

The third proportional to 77,255 and 162,811 is: 343,115.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,255 : 162,811 = 162,811 : x
  2. Step 2: Convert to fraction form
    77,255/162,811 = 162,811/x
  3. Step 3: Cross multiply
    77,255x = 162,811 × 162,811
  4. Step 4: Simplify right side
    77,255x = 26,507,421,721
  5. Step 5: Solve for x
    x = 26,507,421,721/77,255
  6. Step 6: Final answer
    x = 343,115.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.