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Finding the Third Proportional to 107,287 and 162,311

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Solution

The third proportional to 107,287 and 162,311 is: 245,555.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,287 : 162,311 = 162,311 : x
  2. Step 2: Convert to fraction form
    107,287/162,311 = 162,311/x
  3. Step 3: Cross multiply
    107,287x = 162,311 × 162,311
  4. Step 4: Simplify right side
    107,287x = 26,344,860,721
  5. Step 5: Solve for x
    x = 26,344,860,721/107,287
  6. Step 6: Final answer
    x = 245,555.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.