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Finding the Third Proportional to 102,862 and 156,660

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Solution

The third proportional to 102,862 and 156,660 is: 238,594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,862 : 156,660 = 156,660 : x
  2. Step 2: Convert to fraction form
    102,862/156,660 = 156,660/x
  3. Step 3: Cross multiply
    102,862x = 156,660 × 156,660
  4. Step 4: Simplify right side
    102,862x = 24,542,355,600
  5. Step 5: Solve for x
    x = 24,542,355,600/102,862
  6. Step 6: Final answer
    x = 238,594.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.